Doing 57 simple deductions
Doing 22 simple deductions
Doing 12 simple deductions
Doing 3 simple deductions
Smallest mus size: 4
Setting (9, 3) is not 9 because:
- Some cell the cage starting at top-left position (6,3) must be 9 (Choices are: (8, 5), (9, 5), (9, 6))
- (8, 5) and (9, 3) cannot both be 9 as they are both seperated by knights move
- (9, 3) and (9, 5) cannot both be 9 as they are both in row 9
- (9, 3) and (9, 6) cannot both be 9 as they are both in row 9
Smallest mus size: 4
Setting (9, 7) is not 9 because:
- Some cell the cage starting at top-left position (6,3) must be 9 (Choices are: (8, 5), (9, 5), (9, 6))
- (8, 5) and (9, 7) cannot both be 9 as they are both seperated by knights move
- (9, 5) and (9, 7) cannot both be 9 as they are both in row 9
- (9, 6) and (9, 7) cannot both be 9 as they are both in row 9
Smallest mus size: 3
Setting (3, 9) is not 9 because:
- (1, 7) and (3, 9) cannot both be 9 as they are both the cage starting at top-left position (0,6)
- Some cell in column 7 must be 9 (Choices are: (1, 7), (4, 7))
- (3, 9) and (4, 7) cannot both be 9 as they are both seperated by knights move
Smallest mus size: 6
Setting (5, 2) is not 1 because:
- (4, 4) and (5, 2) cannot both be 1 as they are both seperated by knights move
- Some cell the cage starting at top-left position (3,3) must be 1 (Choices are: (4, 4), (5, 4), (5, 5), (5, 6), (6, 4))
- (5, 2) and (5, 4) cannot both be 1 as they are both in row 5
- (5, 2) and (5, 5) cannot both be 1 as they are both in row 5
- (5, 2) and (5, 6) cannot both be 1 as they are both in row 5
- (5, 2) and (6, 4) cannot both be 1 as they are both seperated by knights move
Smallest mus size: 6
Setting (5, 2) is not 2 because:
- (4, 4) and (5, 2) cannot both be 2 as they are both seperated by knights move
- Some cell the cage starting at top-left position (3,3) must be 2 (Choices are: (4, 4), (5, 4), (5, 5), (5, 6), (6, 4))
- (5, 2) and (5, 4) cannot both be 2 as they are both in row 5
- (5, 2) and (5, 5) cannot both be 2 as they are both in row 5
- (5, 2) and (5, 6) cannot both be 2 as they are both in row 5
- (5, 2) and (6, 4) cannot both be 2 as they are both seperated by knights move
Smallest mus size: 16
Setting (4, 5) is not 3 because:
- Some cell the cage starting at top-left position (0,3) must be 1 (Choices are: (1, 5), (1, 6), (2, 5), (2, 6), (3, 5))
- (2, 5) must be less than 3 if (1, 4) is 3
- Some cell the cage starting at top-left position (0,3) must be 3 (Choices are: (1, 4), (1, 5), (1, 6), (2, 5), (2, 6), (3, 5), (3, 6))
- (1, 5) and (2, 7) cannot both be 1 as they are both seperated by knights move
- (1, 5) and (4, 5) cannot both be 3 as they are both in column 5
- (1, 6) cannot be both 1 and 3
- (2, 5) and (2, 7) cannot both be 1 as they are both in row 2
- (2, 5) and (3, 6) cannot both be 2 as they are both the cage starting at top-left position (0,3)
- (2, 5) and (4, 5) cannot both be 3 as they are both in column 5
- (2, 6) and (2, 7) cannot both be 1 as they are both in row 2
- (2, 6) and (4, 5) cannot both be 3 as they are both seperated by knights move
- (2, 7) and (3, 5) cannot both be 1 as they are both seperated by knights move
- (2, 7) must be less than 2 if (3, 6) is 2
- (3, 5) and (4, 5) cannot both be 3 as they are both in column 5
- (3, 6) must be less than 3 if (4, 5) is 3
- (3, 6) and (4, 5) cannot be 3 and 3 as they must be ordered
Smallest mus size: 6
Setting (5, 2) is not 3 because:
- (4, 4) and (5, 2) cannot both be 3 as they are both seperated by knights move
- Some cell the cage starting at top-left position (3,3) must be 3 (Choices are: (4, 4), (5, 4), (5, 5), (5, 6), (6, 4))
- (5, 2) and (5, 4) cannot both be 3 as they are both in row 5
- (5, 2) and (5, 5) cannot both be 3 as they are both in row 5
- (5, 2) and (5, 6) cannot both be 3 as they are both in row 5
- (5, 2) and (6, 4) cannot both be 3 as they are both seperated by knights move
Smallest mus size: 19
Setting (4, 6) is not 4 because:
- (3, 7) and (6, 7) cannot both be 1 as they are both in column 7
- (3, 7) must be less than 2 if (4, 8) is 2
- (5, 7) must be less than 4 if (4, 6) is 4
- (4, 6) and (6, 6) cannot both be 4 as they are both in column 6
- (4, 6) and (6, 7) cannot both be 4 as they are both seperated by knights move
- (4, 8) must be less than 3 if (5, 7) is 3
- (4, 8) and (6, 7) cannot both be 2 as they are both the cage starting at top-left position (3,6)
- (5, 7) and (6, 7) cannot both be 3 as they are both in column 7
- (6, 5) and (6, 6) cannot both be 9 as they are both in row 6
- (6, 5) must be greater than 8 if (7, 6) is 8
- (6, 6) must have some value (Choices are: 4, 5, 6, 7, 8, 9)
- (6, 6) and (6, 7) cannot both be 5 as they are both in row 6
- (6, 6) and (7, 8) cannot both be 6 as they are both seperated by knights move
- (6, 6) and (8, 7) cannot both be 7 as they are both seperated by knights move
- (6, 6) and (7, 6) cannot both be 8 as they are both in column 6
- (6, 7) must have some value (Choices are: 1, 2, 3, 4, 5)
- (7, 8) must be greater than 5 if (6, 7) is 5
- (7, 6) must be greater than 7 if (8, 7) is 7
- (8, 7) must be greater than 6 if (7, 8) is 6
Smallest mus size: 29
Setting (6, 5) is not 5 because:
- Some cell the cage starting at top-left position (0,3) must be 8 (Choices are: (1, 5), (1, 6), (2, 6), (3, 4), (3, 5))
- (1, 5) and (7, 5) cannot both be 8 as they are both in column 5
- (1, 6) and (4, 6) cannot both be 8 as they are both in column 6
- (2, 6) and (4, 6) cannot both be 8 as they are both in column 6
- (3, 4) and (4, 6) cannot both be 8 as they are both seperated by knights move
- (3, 5) and (7, 5) cannot both be 8 as they are both in column 5
- (3, 7) and (6, 7) cannot both be 1 as they are both in column 7
- (3, 7) must be less than 2 if (4, 8) is 2
- (4, 6) must be greater than 7 if (5, 7) is 7
- (4, 6) and (6, 6) cannot both be 9 as they are both in column 6
- (4, 6) must be greater than 8 if (5, 7) is 8
- (4, 8) must be less than 3 if (5, 7) is 3
- (5, 7) must have some value (Choices are: 3, 4, 5, 6, 7, 8)
- (5, 7) and (7, 6) cannot both be 4 as they are both seperated by knights move
- (5, 7) and (6, 5) cannot both be 5 as they are both seperated by knights move
- (5, 7) and (7, 7) cannot both be 6 as they are both in column 7
- (7, 6) must be less than 5 if (6, 5) is 5
- (6, 5) and (7, 7) cannot both be 5 as they are both seperated by knights move
- (6, 6) must be greater than 8 if (7, 5) is 8
- (6, 7) and (7, 7) cannot both be 1 as they are both in column 7
- (6, 7) must be less than 2 if (7, 8) is 2
- (7, 5) must be greater than 7 if (8, 6) is 7
- (7, 6) and (7, 7) cannot both be 4 as they are both in row 7
- (8, 7) must be less than 4 if (7, 6) is 4
- (7, 7) must have some value (Choices are: 1, 2, 3, 4, 5, 6)
- (7, 7) and (7, 8) cannot both be 2 as they are both in row 7
- (7, 7) and (8, 7) cannot both be 3 as they are both in column 7
- (8, 6) must be greater than 6 if (7, 7) is 6
- (7, 8) must be less than 3 if (8, 7) is 3
Smallest mus size: 8
Setting (7, 7) is not 6 because:
- (6, 5) must have some value (Choices are: 6, 7, 8, 9)
- (6, 5) and (7, 7) cannot both be 6 as they are both seperated by knights move
- (6, 5) and (8, 6) cannot both be 7 as they are both seperated by knights move
- (6, 5) and (7, 5) cannot both be 8 as they are both in column 5
- (6, 5) and (6, 6) cannot both be 9 as they are both in row 6
- (6, 6) must be greater than 8 if (7, 5) is 8
- (7, 5) must be greater than 7 if (8, 6) is 7
- (8, 6) must be greater than 6 if (7, 7) is 6
Smallest mus size: 35
Setting (5, 7) is not 3 because:
- (3, 7) and (6, 7) cannot both be 1 as they are both in column 7
- (3, 7) and (7, 7) cannot both be 1 as they are both in column 7
- (3, 7) must be less than 2 if (4, 8) is 2
- (4, 8) must be less than 3 if (5, 7) is 3
- (4, 8) and (6, 7) cannot both be 2 as they are both the cage starting at top-left position (3,6)
- (5, 7) and (6, 7) cannot both be 3 as they are both in column 7
- (6, 5) and (7, 5) cannot both be 8 as they are both in column 5
- (6, 5) must be greater than 7 if (7, 6) is 7
- (6, 5) and (6, 6) cannot both be 9 as they are both in row 6
- (6, 5) must be greater than 8 if (7, 6) is 8
- (6, 6) must have some value (Choices are: 4, 5, 6, 7, 8, 9)
- (7, 5) and (6, 6) cannot be 5 and 4 as they must be ordered
- (6, 6) and (6, 7) cannot both be 5 as they are both in row 6
- (7, 5) and (6, 6) cannot be 5 and 5 as they must be ordered
- (6, 6) must be greater than 4 if (7, 5) is 4
- (6, 6) and (7, 8) cannot both be 6 as they are both seperated by knights move
- (6, 6) and (8, 7) cannot both be 7 as they are both seperated by knights move
- (6, 6) must be greater than 6 if (7, 5) is 6
- (6, 6) and (7, 6) cannot both be 8 as they are both in column 6
- (6, 6) must be greater than 7 if (7, 5) is 7
- (6, 6) must be greater than 8 if (7, 5) is 8
- (6, 7) must have some value (Choices are: 1, 2, 3, 4, 5)
- (6, 7) and (7, 5) cannot both be 4 as they are both seperated by knights move
- (7, 8) must be greater than 4 if (6, 7) is 4
- (7, 8) must be greater than 5 if (6, 7) is 5
- (7, 5) must have some value (Choices are: 3, 4, 5, 6, 7, 8)
- (8, 6) must be less than 3 if (7, 5) is 3
- (7, 5) and (7, 8) cannot both be 5 as they are both in row 7
- (7, 5) and (8, 7) cannot both be 6 as they are both seperated by knights move
- (7, 5) and (7, 6) cannot both be 7 as they are both in row 7
- (7, 6) must be greater than 6 if (8, 7) is 6
- (7, 6) must be greater than 7 if (8, 7) is 7
- (7, 7) must be less than 2 if (8, 6) is 2
- (8, 7) must be greater than 5 if (7, 8) is 5
- (8, 7) must be greater than 6 if (7, 8) is 6
Smallest mus size: 36
Setting (6, 7) is not 5 because:
- (2, 7) and (7, 7) cannot both be 1 as they are both in column 7
- (2, 7) must have some value (Choices are: 1, 2, 3, 4, 5, 6)
- (2, 7) and (3, 7) cannot both be 2 as they are both in column 7
- (2, 7) and (4, 8) cannot both be 3 as they are both seperated by knights move
- (2, 7) and (5, 7) cannot both be 4 as they are both in column 7
- (2, 7) and (6, 7) cannot both be 5 as they are both in column 7
- (3, 6) must be greater than 6 if (2, 7) is 6
- (2, 7) and (4, 6) cannot both be 6 as they are both seperated by knights move
- (4, 5) must be greater than 7 if (3, 6) is 7
- (3, 6) and (4, 6) cannot both be 7 as they are both in column 6
- (3, 7) and (7, 7) cannot both be 1 as they are both in column 7
- (3, 7) must be less than 3 if (4, 8) is 3
- (3, 7) must be less than 2 if (4, 8) is 2
- (4, 5) and (4, 6) cannot both be 8 as they are both in row 4
- (4, 6) must have some value (Choices are: 5, 6, 7, 8, 9)
- (4, 6) and (6, 7) cannot both be 5 as they are both seperated by knights move
- (4, 6) and (6, 5) cannot both be 9 as they are both the cage starting at top-left position (3,3)
- (4, 8) must be less than 4 if (5, 7) is 4
- (5, 7) must have some value (Choices are: 4, 5, 6, 7, 8)
- (5, 7) and (6, 7) cannot both be 5 as they are both in column 7
- (5, 7) and (7, 8) cannot both be 6 as they are both seperated by knights move
- (5, 7) and (8, 7) cannot both be 7 as they are both in column 7
- (5, 7) and (7, 6) cannot both be 8 as they are both seperated by knights move
- (6, 5) and (6, 6) cannot both be 9 as they are both in row 6
- (6, 5) must be greater than 8 if (7, 6) is 8
- (6, 6) must have some value (Choices are: 4, 5, 6, 7, 8, 9)
- (7, 5) must be less than 4 if (6, 6) is 4
- (6, 6) and (6, 7) cannot both be 5 as they are both in row 6
- (6, 6) and (7, 8) cannot both be 6 as they are both seperated by knights move
- (6, 6) and (8, 7) cannot both be 7 as they are both seperated by knights move
- (6, 6) and (7, 6) cannot both be 8 as they are both in column 6
- (7, 8) must be greater than 5 if (6, 7) is 5
- (8, 6) must be less than 3 if (7, 5) is 3
- (7, 6) must be greater than 7 if (8, 7) is 7
- (7, 7) must be less than 2 if (8, 6) is 2
- (8, 7) must be greater than 6 if (7, 8) is 6
Smallest mus size: 8
Setting (6, 6) is not 4 because:
- (6, 6) and (6, 7) cannot both be 4 as they are both in row 6
- (7, 5) must be less than 4 if (6, 6) is 4
- (6, 7) and (7, 7) cannot both be 1 as they are both in column 7
- (6, 7) must have some value (Choices are: 1, 2, 3, 4)
- (6, 7) and (8, 6) cannot both be 2 as they are both seperated by knights move
- (6, 7) and (7, 5) cannot both be 3 as they are both seperated by knights move
- (8, 6) must be less than 3 if (7, 5) is 3
- (7, 7) must be less than 2 if (8, 6) is 2
Smallest mus size: 38
Setting (8, 6) is not 6 because:
- Some cell the cage starting at top-left position (0,3) must be 7 (Choices are: (1, 5), (1, 6), (2, 6), (3, 4), (3, 5), (3, 6))
- Some cell the cage starting at top-left position (0,3) must be 8 (Choices are: (1, 5), (1, 6), (2, 6), (3, 4), (3, 5))
- (1, 5) and (7, 5) cannot both be 7 as they are both in column 5
- (1, 5) and (7, 5) cannot both be 8 as they are both in column 5
- (1, 6) and (4, 6) cannot both be 7 as they are both in column 6
- (1, 6) and (4, 6) cannot both be 8 as they are both in column 6
- (2, 6) and (4, 6) cannot both be 7 as they are both in column 6
- (2, 6) and (4, 6) cannot both be 8 as they are both in column 6
- (3, 4) and (4, 6) cannot both be 7 as they are both seperated by knights move
- (3, 4) and (4, 6) cannot both be 8 as they are both seperated by knights move
- (3, 5) and (7, 5) cannot both be 7 as they are both in column 5
- (3, 5) and (7, 5) cannot both be 8 as they are both in column 5
- (3, 6) and (4, 6) cannot both be 7 as they are both in column 6
- (4, 6) must have some value (Choices are: 5, 6, 7, 8, 9)
- (5, 7) must be less than 5 if (4, 6) is 5
- (4, 6) and (7, 6) cannot both be 5 as they are both in column 6
- (4, 6) and (8, 6) cannot both be 6 as they are both in column 6
- (4, 6) and (6, 5) cannot both be 7 as they are both the cage starting at top-left position (3,3)
- (4, 6) and (6, 5) cannot both be 8 as they are both the cage starting at top-left position (3,3)
- (4, 6) and (6, 6) cannot both be 8 as they are both in column 6
- (4, 6) and (6, 5) cannot both be 9 as they are both the cage starting at top-left position (3,3)
- (4, 6) and (6, 6) cannot both be 9 as they are both in column 6
- (5, 7) and (7, 6) cannot both be 4 as they are both seperated by knights move
- (6, 5) must have some value (Choices are: 6, 7, 8, 9)
- (6, 5) and (8, 6) cannot both be 6 as they are both seperated by knights move
- (6, 5) and (7, 5) cannot both be 7 as they are both in column 5
- (6, 5) and (6, 6) cannot both be 8 as they are both in row 6
- (6, 5) and (7, 5) cannot both be 8 as they are both in column 5
- (6, 5) must be greater than 7 if (7, 6) is 7
- (6, 5) and (6, 6) cannot both be 9 as they are both in row 6
- (6, 5) must be greater than 8 if (7, 6) is 8
- (6, 6) and (7, 6) cannot both be 8 as they are both in column 6
- (6, 6) must be greater than 7 if (7, 5) is 7
- (6, 6) must be greater than 8 if (7, 5) is 8
- (7, 5) and (7, 6) cannot both be 7 as they are both in row 7
- (7, 5) must be greater than 6 if (8, 6) is 6
- (7, 6) must have some value (Choices are: 4, 5, 6, 7, 8)
- (7, 6) and (8, 6) cannot both be 6 as they are both in column 6
Smallest mus size: 22
Setting (7, 7) is not 5 because:
- Some cell the cage starting at top-left position (0,3) must be 8 (Choices are: (1, 5), (1, 6), (2, 6), (3, 4), (3, 5))
- (1, 5) and (7, 5) cannot both be 8 as they are both in column 5
- (1, 6) and (4, 6) cannot both be 8 as they are both in column 6
- (2, 6) and (4, 6) cannot both be 8 as they are both in column 6
- (3, 4) and (4, 6) cannot both be 8 as they are both seperated by knights move
- (3, 5) and (7, 5) cannot both be 8 as they are both in column 5
- (4, 6) must have some value (Choices are: 5, 6, 7, 8, 9)
- (5, 7) must be less than 5 if (4, 6) is 5
- (5, 7) must be less than 6 if (4, 6) is 6
- (4, 6) and (8, 6) cannot both be 7 as they are both in column 6
- (4, 6) and (6, 6) cannot both be 9 as they are both in column 6
- (5, 7) and (7, 6) cannot both be 4 as they are both seperated by knights move
- (5, 7) and (7, 7) cannot both be 5 as they are both in column 7
- (6, 5) must have some value (Choices are: 6, 7, 8, 9)
- (7, 6) must be less than 6 if (6, 5) is 6
- (6, 5) and (8, 6) cannot both be 7 as they are both seperated by knights move
- (6, 5) and (7, 5) cannot both be 8 as they are both in column 5
- (6, 5) and (6, 6) cannot both be 9 as they are both in row 6
- (6, 6) must be greater than 8 if (7, 5) is 8
- (7, 5) must be greater than 7 if (8, 6) is 7
- (7, 6) and (7, 7) cannot both be 5 as they are both in row 7
- (8, 6) must be greater than 5 if (7, 7) is 5
Smallest mus size: 8
Setting (7, 6) is not 4 because:
- (6, 7) and (7, 7) cannot both be 1 as they are both in column 7
- (6, 7) must be less than 2 if (7, 8) is 2
- (7, 6) and (7, 7) cannot both be 4 as they are both in row 7
- (8, 7) must be less than 4 if (7, 6) is 4
- (7, 7) must have some value (Choices are: 1, 2, 3, 4)
- (7, 7) and (7, 8) cannot both be 2 as they are both in row 7
- (7, 7) and (8, 7) cannot both be 3 as they are both in column 7
- (7, 8) must be less than 3 if (8, 7) is 3
Smallest mus size: 28
Setting (8, 6) is not 7 because:
- Some cell the cage starting at top-left position (0,3) must be 8 (Choices are: (1, 5), (1, 6), (2, 6), (3, 4), (3, 5))
- (1, 5) and (7, 5) cannot both be 8 as they are both in column 5
- (1, 6) and (4, 6) cannot both be 8 as they are both in column 6
- (2, 6) and (4, 6) cannot both be 8 as they are both in column 6
- (3, 4) and (4, 6) cannot both be 8 as they are both seperated by knights move
- (3, 5) and (7, 5) cannot both be 8 as they are both in column 5
- (4, 6) must be greater than 7 if (5, 7) is 7
- (4, 6) and (6, 6) cannot both be 9 as they are both in column 6
- (4, 6) must be greater than 8 if (5, 7) is 8
- (5, 7) must have some value (Choices are: 4, 5, 6, 7, 8)
- (5, 7) and (7, 7) cannot both be 4 as they are both in column 7
- (5, 7) and (8, 7) cannot both be 4 as they are both in column 7
- (5, 7) and (7, 6) cannot both be 5 as they are both seperated by knights move
- (5, 7) and (6, 5) cannot both be 6 as they are both seperated by knights move
- (6, 5) must have some value (Choices are: 6, 7, 8, 9)
- (7, 6) must be less than 6 if (6, 5) is 6
- (6, 5) and (8, 6) cannot both be 7 as they are both seperated by knights move
- (6, 5) and (7, 5) cannot both be 8 as they are both in column 5
- (6, 5) and (6, 6) cannot both be 9 as they are both in row 6
- (6, 6) must be greater than 8 if (7, 5) is 8
- (6, 7) and (7, 7) cannot both be 1 as they are both in column 7
- (6, 7) must be less than 2 if (7, 8) is 2
- (7, 5) must be greater than 7 if (8, 6) is 7
- (8, 7) must be less than 5 if (7, 6) is 5
- (7, 7) must have some value (Choices are: 1, 2, 3, 4)
- (7, 7) and (7, 8) cannot both be 2 as they are both in row 7
- (7, 7) and (8, 7) cannot both be 3 as they are both in column 7
- (7, 8) must be less than 3 if (8, 7) is 3
Smallest mus size: 16
Setting (7, 6) is not 5 because:
- (6, 7) and (7, 7) cannot both be 1 as they are both in column 7
- (6, 7) must be less than 3 if (7, 8) is 3
- (6, 7) must be less than 2 if (7, 8) is 2
- (6, 7) and (8, 6) cannot both be 2 as they are both seperated by knights move
- (7, 6) and (8, 6) cannot both be 5 as they are both in column 6
- (8, 7) must be less than 5 if (7, 6) is 5
- (7, 7) must be less than 4 if (8, 6) is 4
- (7, 7) must be less than 3 if (8, 6) is 3
- (7, 7) must be less than 2 if (8, 6) is 2
- (7, 7) and (7, 8) cannot both be 2 as they are both in row 7
- (7, 7) and (8, 7) cannot both be 3 as they are both in column 7
- (7, 8) must be less than 4 if (8, 7) is 4
- (7, 8) must be less than 3 if (8, 7) is 3
- (7, 8) and (8, 6) cannot both be 3 as they are both seperated by knights move
- (8, 6) must have some value (Choices are: 2, 3, 4, 5)
- (8, 6) and (8, 7) cannot both be 4 as they are both in row 8
Doing 1 simple deductions
Smallest mus size: 32
Setting (7, 5) is not 8 because:
- (1, 7) cannot be both 6 and 9
- Some cell in column 7 must be 6 (Choices are: (1, 7), (2, 7), (3, 7), (4, 7), (5, 7), (8, 7), (9, 7))
- (1, 7) cannot be both 7 and 9
- Some cell in column 7 must be 7 (Choices are: (1, 7), (4, 7), (5, 7), (8, 7), (9, 7))
- (1, 7) cannot be both 8 and 9
- Some cell in column 7 must be 8 (Choices are: (1, 7), (4, 7), (5, 7), (9, 7))
- Some cell in column 7 must be 9 (Choices are: (1, 7), (4, 7))
- (3, 6) must be greater than 6 if (2, 7) is 6
- (4, 5) must be greater than 7 if (3, 6) is 7
- (4, 8) must be greater than 6 if (3, 7) is 6
- (4, 5) and (7, 5) cannot both be 8 as they are both in column 5
- (4, 6) and (6, 6) cannot both be 9 as they are both in column 6
- (4, 6) must be greater than 8 if (5, 7) is 8
- (4, 7) cannot be both 6 and 7
- (4, 7) cannot be both 6 and 8
- (4, 7) cannot be both 7 and 8
- (4, 7) and (6, 6) cannot both be 9 as they are both seperated by knights move
- (5, 7) must be greater than 7 if (4, 8) is 7
- (5, 7) and (7, 6) cannot both be 6 as they are both seperated by knights move
- (5, 7) and (6, 5) cannot both be 7 as they are both seperated by knights move
- (6, 5) must have some value (Choices are: 7, 8, 9)
- (6, 5) and (7, 5) cannot both be 8 as they are both in column 5
- (6, 5) must be greater than 7 if (7, 6) is 7
- (6, 5) and (6, 6) cannot both be 9 as they are both in row 6
- (6, 6) must be greater than 8 if (7, 5) is 8
- (7, 5) and (7, 6) cannot both be 8 as they are both in row 7
- (7, 6) must have some value (Choices are: 6, 7, 8)
- (7, 6) must be greater than 6 if (8, 7) is 6
- (7, 6) must be greater than 7 if (8, 7) is 7
- (9, 7) cannot be both 6 and 7
- (9, 7) cannot be both 6 and 8
- (9, 7) cannot be both 7 and 8
Smallest mus size: 31
Setting (5, 7) is not 8 because:
- (4, 6) and (6, 5) cannot both be 9 as they are both the cage starting at top-left position (3,3)
- (4, 6) must be greater than 8 if (5, 7) is 8
- (5, 7) and (6, 5) cannot both be 8 as they are both seperated by knights move
- (6, 5) must have some value (Choices are: 7, 8, 9)
- (6, 5) and (7, 5) cannot both be 7 as they are both in column 5
- (7, 6) must be less than 7 if (6, 5) is 7
- (6, 7) and (7, 7) cannot both be 1 as they are both in column 7
- (6, 7) must have some value (Choices are: 1, 2, 3, 4)
- (6, 7) must be less than 3 if (7, 8) is 3
- (6, 7) must be less than 2 if (7, 8) is 2
- (6, 7) and (8, 6) cannot both be 2 as they are both seperated by knights move
- (6, 7) and (7, 5) cannot both be 3 as they are both seperated by knights move
- (6, 7) and (7, 8) cannot be 4 and 4 as they must be ordered
- (7, 5) must have some value (Choices are: 3, 4, 5, 6, 7)
- (8, 6) must be less than 3 if (7, 5) is 3
- (7, 5) and (7, 8) cannot both be 4 as they are both in row 7
- (8, 6) must be less than 4 if (7, 5) is 4
- (8, 6) must be less than 5 if (7, 5) is 5
- (7, 5) and (8, 7) cannot both be 5 as they are both seperated by knights move
- (7, 5) and (7, 6) cannot both be 6 as they are both in row 7
- (8, 7) must be less than 6 if (7, 6) is 6
- (7, 7) must be less than 4 if (8, 6) is 4
- (7, 7) must be less than 3 if (8, 6) is 3
- (7, 7) must be less than 2 if (8, 6) is 2
- (7, 7) and (7, 8) cannot both be 2 as they are both in row 7
- (7, 7) and (8, 7) cannot both be 3 as they are both in column 7
- (7, 8) must be less than 5 if (8, 7) is 5
- (7, 8) must be less than 4 if (8, 7) is 4
- (7, 8) must be less than 3 if (8, 7) is 3
- (7, 8) and (8, 6) cannot both be 3 as they are both seperated by knights move
- (8, 6) and (8, 7) cannot both be 4 as they are both in row 8
Doing 1 simple deductions
Doing 1 simple deductions
Smallest mus size: 27
Setting (4, 7) is not 4 because:
- (1, 7) cannot be both 6 and 9
- Some cell in column 7 must be 6 (Choices are: (1, 7), (2, 7), (4, 7), (5, 7), (8, 7), (9, 7))
- (1, 7) cannot be both 7 and 9
- Some cell in column 7 must be 7 (Choices are: (1, 7), (4, 7), (5, 7), (8, 7), (9, 7))
- (1, 7) cannot be both 8 and 9
- Some cell in column 7 must be 8 (Choices are: (1, 7), (4, 7), (9, 7))
- Some cell in column 7 must be 9 (Choices are: (1, 7), (4, 7))
- (3, 6) must be greater than 6 if (2, 7) is 6
- (4, 5) must be greater than 7 if (3, 6) is 7
- (4, 5) and (4, 6) cannot both be 8 as they are both in row 4
- (4, 5) and (6, 5) cannot both be 8 as they are both in column 5
- (4, 6) must be greater than 7 if (5, 7) is 7
- (4, 6) and (6, 5) cannot both be 9 as they are both the cage starting at top-left position (3,3)
- (4, 7) cannot be both 4 and 6
- (4, 7) cannot be both 4 and 7
- (4, 7) cannot be both 4 and 8
- (4, 7) cannot be both 4 and 9
- (5, 7) and (7, 6) cannot both be 6 as they are both seperated by knights move
- (5, 7) and (6, 5) cannot both be 7 as they are both seperated by knights move
- (5, 7) and (7, 6) cannot both be 7 as they are both seperated by knights move
- (6, 5) must have some value (Choices are: 7, 8, 9)
- (7, 6) must have some value (Choices are: 6, 7, 8)
- (8, 7) and (7, 6) cannot be 6 and 6 as they must be ordered
- (7, 6) and (9, 7) cannot both be 6 as they are both seperated by knights move
- (7, 6) and (9, 7) cannot both be 8 as they are both seperated by knights move
- (7, 6) must be greater than 7 if (8, 7) is 7
- (9, 7) cannot be both 7 and 8
Smallest mus size: 29
Setting (6, 5) is not 7 because:
- (6, 5) and (7, 5) cannot both be 7 as they are both in column 5
- (7, 6) must be less than 7 if (6, 5) is 7
- (6, 7) and (7, 7) cannot both be 1 as they are both in column 7
- (6, 7) must have some value (Choices are: 1, 2, 3, 4)
- (6, 7) must be less than 2 if (7, 8) is 2
- (6, 7) and (8, 6) cannot both be 2 as they are both seperated by knights move
- (6, 7) and (7, 5) cannot both be 3 as they are both seperated by knights move
- (6, 7) and (7, 8) cannot be 3 and 3 as they must be ordered
- (6, 7) and (7, 8) cannot be 4 and 3 as they must be ordered
- (6, 7) and (7, 8) cannot be 4 and 4 as they must be ordered
- (7, 5) must have some value (Choices are: 3, 4, 5, 6, 7)
- (8, 6) must be less than 3 if (7, 5) is 3
- (7, 5) and (7, 8) cannot both be 4 as they are both in row 7
- (7, 5) and (8, 6) cannot both be 4 as they are both the cage starting at top-left position (6,3)
- (7, 5) and (8, 7) cannot both be 5 as they are both seperated by knights move
- (7, 5) and (7, 6) cannot both be 6 as they are both in row 7
- (7, 5) must be greater than 5 if (8, 6) is 5
- (8, 7) must be less than 6 if (7, 6) is 6
- (7, 7) must be less than 4 if (8, 6) is 4
- (7, 7) must be less than 3 if (8, 6) is 3
- (7, 7) must be less than 2 if (8, 6) is 2
- (7, 7) and (7, 8) cannot both be 2 as they are both in row 7
- (7, 7) and (8, 7) cannot both be 3 as they are both in column 7
- (7, 8) must be less than 5 if (8, 7) is 5
- (7, 8) must be less than 4 if (8, 7) is 4
- (7, 8) must be less than 3 if (8, 7) is 3
- (7, 8) and (8, 6) cannot both be 3 as they are both seperated by knights move
- (8, 6) must have some value (Choices are: 2, 3, 4, 5)
- (8, 6) and (8, 7) cannot both be 4 as they are both in row 8
Smallest mus size: 39
Setting (4, 8) is not 2 because:
- (3, 7) and (6, 7) cannot both be 1 as they are both in column 7
- (3, 7) and (7, 7) cannot both be 1 as they are both in column 7
- (3, 7) must be less than 2 if (4, 8) is 2
- (4, 8) and (6, 7) cannot both be 2 as they are both the cage starting at top-left position (3,6)
- (4, 8) and (7, 8) cannot both be 2 as they are both in column 8
- (6, 5) and (6, 6) cannot both be 9 as they are both in row 6
- (6, 5) must be greater than 8 if (7, 6) is 8
- (6, 6) must have some value (Choices are: 5, 6, 7, 8, 9)
- (7, 5) must be less than 5 if (6, 6) is 5
- (7, 5) must be less than 6 if (6, 6) is 6
- (6, 6) and (7, 8) cannot both be 6 as they are both seperated by knights move
- (6, 6) and (8, 7) cannot both be 7 as they are both seperated by knights move
- (6, 6) and (7, 6) cannot both be 8 as they are both in column 6
- (6, 6) must be greater than 7 if (7, 5) is 7
- (6, 7) must have some value (Choices are: 1, 2, 3, 4)
- (6, 7) must be less than 3 if (7, 8) is 3
- (6, 7) and (8, 6) cannot both be 3 as they are both seperated by knights move
- (6, 7) and (7, 5) cannot both be 4 as they are both seperated by knights move
- (6, 7) and (7, 8) cannot be 4 and 4 as they must be ordered
- (7, 5) must have some value (Choices are: 3, 4, 5, 6, 7)
- (8, 6) must be less than 3 if (7, 5) is 3
- (8, 6) must be less than 4 if (7, 5) is 4
- (7, 5) and (7, 8) cannot both be 5 as they are both in row 7
- (8, 6) must be less than 5 if (7, 5) is 5
- (7, 5) and (8, 7) cannot both be 6 as they are both seperated by knights move
- (7, 5) and (7, 6) cannot both be 7 as they are both in row 7
- (7, 6) must have some value (Choices are: 6, 7, 8)
- (8, 7) must be less than 6 if (7, 6) is 6
- (7, 6) must be greater than 7 if (8, 7) is 7
- (7, 7) must be less than 2 if (8, 6) is 2
- (7, 8) must have some value (Choices are: 2, 3, 4, 5, 6)
- (7, 8) must be less than 4 if (8, 7) is 4
- (7, 8) must be less than 3 if (8, 7) is 3
- (7, 8) and (8, 6) cannot both be 4 as they are both seperated by knights move
- (7, 8) and (8, 7) cannot both be 5 as they are both the cage starting at top-left position (6,6)
- (8, 7) must be greater than 6 if (7, 8) is 6
- (8, 6) must have some value (Choices are: 2, 3, 4, 5)
- (8, 6) and (8, 7) cannot both be 5 as they are both in row 8
- (8, 7) must have some value (Choices are: 3, 4, 5, 6, 7)
Smallest mus size: 41
Setting (6, 1) is not 9 because:
- (6, 1) and (6, 5) cannot both be 9 as they are both in row 6
- (6, 1) and (6, 6) cannot both be 9 as they are both in row 6
- (6, 5) must have some value (Choices are: 8, 9)
- (6, 5) and (6, 6) cannot both be 8 as they are both in row 6
- (6, 5) must be greater than 8 if (7, 6) is 8
- (6, 6) must have some value (Choices are: 5, 6, 7, 8, 9)
- (7, 5) must be less than 5 if (6, 6) is 5
- (6, 6) and (7, 8) cannot both be 5 as they are both seperated by knights move
- (7, 5) must be less than 6 if (6, 6) is 6
- (6, 6) and (8, 7) cannot both be 6 as they are both seperated by knights move
- (7, 5) must be less than 7 if (6, 6) is 7
- (6, 6) and (7, 6) cannot both be 7 as they are both in column 6
- (6, 7) and (7, 7) cannot both be 1 as they are both in column 7
- (6, 7) must have some value (Choices are: 1, 2, 3, 4)
- (6, 7) must be less than 3 if (7, 8) is 3
- (6, 7) must be less than 2 if (7, 8) is 2
- (6, 7) and (8, 6) cannot both be 2 as they are both seperated by knights move
- (6, 7) and (7, 5) cannot both be 3 as they are both seperated by knights move
- (7, 8) must be greater than 4 if (6, 7) is 4
- (8, 6) must be less than 3 if (7, 5) is 3
- (7, 5) and (7, 8) cannot both be 4 as they are both in row 7
- (8, 6) must be less than 4 if (7, 5) is 4
- (8, 6) must be less than 5 if (7, 5) is 5
- (7, 5) and (8, 7) cannot both be 5 as they are both seperated by knights move
- (7, 5) and (7, 6) cannot both be 6 as they are both in row 7
- (7, 6) must have some value (Choices are: 6, 7, 8)
- (7, 6) must be greater than 6 if (8, 7) is 6
- (7, 6) must be greater than 7 if (8, 7) is 7
- (7, 7) must be less than 4 if (8, 6) is 4
- (7, 7) must be less than 3 if (8, 6) is 3
- (7, 7) must be less than 2 if (8, 6) is 2
- (7, 7) and (7, 8) cannot both be 2 as they are both in row 7
- (7, 7) and (8, 7) cannot both be 3 as they are both in column 7
- (7, 8) must have some value (Choices are: 2, 3, 4, 5, 6)
- (7, 8) must be less than 4 if (8, 7) is 4
- (7, 8) must be less than 3 if (8, 7) is 3
- (7, 8) and (8, 6) cannot both be 3 as they are both seperated by knights move
- (8, 7) must be greater than 5 if (7, 8) is 5
- (8, 7) must be greater than 6 if (7, 8) is 6
- (8, 6) and (8, 7) cannot both be 4 as they are both in row 8
- (8, 7) must have some value (Choices are: 3, 4, 5, 6, 7)
Smallest mus size: 42
Setting (5, 5) is not 9 because:
- (5, 5) and (6, 5) cannot both be 9 as they are both in column 5
- (5, 5) and (6, 6) cannot both be 9 as they are both the cage starting at top-left position (3,3)
- (6, 5) must have some value (Choices are: 8, 9)
- (6, 5) and (6, 6) cannot both be 8 as they are both in row 6
- (6, 5) must be greater than 8 if (7, 6) is 8
- (6, 6) must have some value (Choices are: 5, 6, 7, 8, 9)
- (7, 5) must be less than 5 if (6, 6) is 5
- (6, 6) and (7, 8) cannot both be 5 as they are both seperated by knights move
- (7, 5) must be less than 6 if (6, 6) is 6
- (6, 6) and (8, 7) cannot both be 6 as they are both seperated by knights move
- (6, 6) and (7, 6) cannot both be 7 as they are both in column 6
- (6, 6) must be greater than 7 if (7, 5) is 7
- (6, 7) and (7, 7) cannot both be 1 as they are both in column 7
- (6, 7) must have some value (Choices are: 1, 2, 3, 4)
- (6, 7) must be less than 2 if (7, 8) is 2
- (6, 7) and (8, 6) cannot both be 2 as they are both seperated by knights move
- (6, 7) and (7, 5) cannot both be 3 as they are both seperated by knights move
- (7, 8) must be greater than 3 if (6, 7) is 3
- (7, 8) must be greater than 4 if (6, 7) is 4
- (7, 5) must have some value (Choices are: 3, 4, 5, 6, 7)
- (8, 6) must be less than 3 if (7, 5) is 3
- (7, 5) and (7, 8) cannot both be 4 as they are both in row 7
- (8, 6) must be less than 4 if (7, 5) is 4
- (8, 6) must be less than 5 if (7, 5) is 5
- (7, 5) and (8, 7) cannot both be 5 as they are both seperated by knights move
- (7, 5) and (7, 6) cannot both be 6 as they are both in row 7
- (7, 6) must have some value (Choices are: 6, 7, 8)
- (7, 6) must be greater than 6 if (8, 7) is 6
- (7, 6) must be greater than 7 if (8, 7) is 7
- (7, 7) must be less than 4 if (8, 6) is 4
- (7, 7) must be less than 3 if (8, 6) is 3
- (7, 7) must be less than 2 if (8, 6) is 2
- (7, 7) and (7, 8) cannot both be 2 as they are both in row 7
- (7, 7) and (8, 7) cannot both be 3 as they are both in column 7
- (7, 8) must have some value (Choices are: 2, 3, 4, 5, 6)
- (7, 8) must be less than 3 if (8, 7) is 3
- (7, 8) and (8, 6) cannot both be 3 as they are both seperated by knights move
- (7, 8) and (8, 7) cannot both be 4 as they are both the cage starting at top-left position (6,6)
- (8, 7) must be greater than 5 if (7, 8) is 5
- (8, 7) must be greater than 6 if (7, 8) is 6
- (8, 6) and (8, 7) cannot both be 4 as they are both in row 8
- (8, 7) must have some value (Choices are: 3, 4, 5, 6, 7)
Smallest mus size: 40
Setting (7, 5) is not 7 because:
- (1, 7) cannot be both 6 and 7
- (1, 7) cannot be both 6 and 8
- (1, 7) cannot be both 6 and 9
- Some cell in column 7 must be 6 (Choices are: (1, 7), (2, 7), (4, 7), (5, 7), (8, 7), (9, 7))
- (1, 7) cannot be both 7 and 8
- (1, 7) cannot be both 7 and 9
- Some cell in column 7 must be 7 (Choices are: (1, 7), (4, 7), (5, 7), (8, 7), (9, 7))
- (1, 7) cannot be both 8 and 9
- Some cell in column 7 must be 8 (Choices are: (1, 7), (4, 7), (9, 7))
- Some cell in column 7 must be 9 (Choices are: (1, 7), (4, 7))
- (3, 6) must be greater than 6 if (2, 7) is 6
- (4, 5) must be greater than 7 if (3, 6) is 7
- (4, 5) and (6, 5) cannot both be 8 as they are both in column 5
- (4, 5) and (6, 6) cannot both be 8 as they are both the cage starting at top-left position (3,3)
- (4, 6) and (6, 5) cannot both be 8 as they are both the cage starting at top-left position (3,3)
- (4, 6) and (6, 6) cannot both be 8 as they are both in column 6
- (4, 6) must be greater than 7 if (5, 7) is 7
- (4, 6) and (6, 5) cannot both be 9 as they are both the cage starting at top-left position (3,3)
- (4, 6) and (6, 6) cannot both be 9 as they are both in column 6
- (4, 7) cannot be both 6 and 7
- (4, 7) cannot be both 6 and 8
- (4, 7) cannot be both 6 and 9
- (4, 7) cannot be both 7 and 8
- (4, 7) cannot be both 7 and 9
- (4, 7) and (6, 6) cannot both be 8 as they are both seperated by knights move
- (4, 7) and (6, 6) cannot both be 9 as they are both seperated by knights move
- (5, 7) and (7, 6) cannot both be 6 as they are both seperated by knights move
- (6, 5) must have some value (Choices are: 8, 9)
- (6, 5) and (6, 6) cannot both be 8 as they are both in row 6
- (6, 5) and (6, 6) cannot both be 9 as they are both in row 6
- (6, 5) must be greater than 8 if (7, 6) is 8
- (6, 6) and (7, 6) cannot both be 8 as they are both in column 6
- (6, 6) must be greater than 7 if (7, 5) is 7
- (7, 5) and (7, 6) cannot both be 7 as they are both in row 7
- (7, 6) must have some value (Choices are: 6, 7, 8)
- (7, 6) must be greater than 6 if (8, 7) is 6
- (7, 6) must be greater than 7 if (8, 7) is 7
- (9, 7) cannot be both 6 and 7
- (9, 7) cannot be both 6 and 8
- (9, 7) cannot be both 7 and 8
Smallest mus size: 25
Setting (7, 6) is not 6 because:
- (6, 7) and (7, 7) cannot both be 1 as they are both in column 7
- (6, 7) must have some value (Choices are: 1, 2, 3, 4)
- (6, 7) must be less than 3 if (7, 8) is 3
- (6, 7) must be less than 2 if (7, 8) is 2
- (6, 7) and (8, 6) cannot both be 2 as they are both seperated by knights move
- (6, 7) and (7, 5) cannot both be 3 as they are both seperated by knights move
- (6, 7) and (7, 8) cannot be 4 and 4 as they must be ordered
- (7, 5) must have some value (Choices are: 3, 4, 5, 6)
- (8, 6) must be less than 3 if (7, 5) is 3
- (7, 5) and (7, 8) cannot both be 4 as they are both in row 7
- (8, 6) must be less than 4 if (7, 5) is 4
- (8, 6) must be less than 5 if (7, 5) is 5
- (7, 5) and (8, 7) cannot both be 5 as they are both seperated by knights move
- (7, 5) and (7, 6) cannot both be 6 as they are both in row 7
- (8, 7) must be less than 6 if (7, 6) is 6
- (7, 7) must be less than 4 if (8, 6) is 4
- (7, 7) must be less than 3 if (8, 6) is 3
- (7, 7) must be less than 2 if (8, 6) is 2
- (7, 7) and (7, 8) cannot both be 2 as they are both in row 7
- (7, 7) and (8, 7) cannot both be 3 as they are both in column 7
- (7, 8) must be less than 5 if (8, 7) is 5
- (7, 8) must be less than 4 if (8, 7) is 4
- (7, 8) must be less than 3 if (8, 7) is 3
- (7, 8) and (8, 6) cannot both be 3 as they are both seperated by knights move
- (8, 6) and (8, 7) cannot both be 4 as they are both in row 8
Smallest mus size: 6
Setting (5, 7) is not 7 because:
- (4, 6) and (7, 6) cannot both be 8 as they are both in column 6
- (4, 6) must be greater than 7 if (5, 7) is 7
- (4, 6) and (6, 5) cannot both be 9 as they are both the cage starting at top-left position (3,3)
- (5, 7) and (7, 6) cannot both be 7 as they are both seperated by knights move
- (6, 5) must be greater than 8 if (7, 6) is 8
- (7, 6) must have some value (Choices are: 7, 8)
Doing 1 simple deductions
Doing 1 simple deductions
Smallest mus size: 11
Setting (1, 7) is not 4 because:
- (1, 7) cannot be both 4 and 7
- (1, 7) cannot be both 4 and 8
- (1, 7) cannot be both 4 and 9
- Some cell in column 7 must be 7 (Choices are: (1, 7), (4, 7), (8, 7), (9, 7))
- Some cell in column 7 must be 8 (Choices are: (1, 7), (4, 7), (9, 7))
- Some cell in column 7 must be 9 (Choices are: (1, 7), (4, 7))
- (4, 7) cannot be both 7 and 9
- (4, 7) cannot be both 8 and 9
- (7, 6) and (9, 7) cannot both be 8 as they are both seperated by knights move
- (7, 6) must be greater than 7 if (8, 7) is 7
- (9, 7) cannot be both 7 and 8
Smallest mus size: 11
Setting (1, 7) is not 5 because:
- (1, 7) cannot be both 5 and 7
- (1, 7) cannot be both 5 and 8
- (1, 7) cannot be both 5 and 9
- Some cell in column 7 must be 7 (Choices are: (1, 7), (4, 7), (8, 7), (9, 7))
- Some cell in column 7 must be 8 (Choices are: (1, 7), (4, 7), (9, 7))
- Some cell in column 7 must be 9 (Choices are: (1, 7), (4, 7))
- (4, 7) cannot be both 7 and 9
- (4, 7) cannot be both 8 and 9
- (7, 6) and (9, 7) cannot both be 8 as they are both seperated by knights move
- (7, 6) must be greater than 7 if (8, 7) is 7
- (9, 7) cannot be both 7 and 8
Smallest mus size: 11
Setting (1, 7) is not 6 because:
- (1, 7) cannot be both 6 and 7
- (1, 7) cannot be both 6 and 8
- (1, 7) cannot be both 6 and 9
- Some cell in column 7 must be 7 (Choices are: (1, 7), (4, 7), (8, 7), (9, 7))
- Some cell in column 7 must be 8 (Choices are: (1, 7), (4, 7), (9, 7))
- Some cell in column 7 must be 9 (Choices are: (1, 7), (4, 7))
- (4, 7) cannot be both 7 and 9
- (4, 7) cannot be both 8 and 9
- (7, 6) and (9, 7) cannot both be 8 as they are both seperated by knights move
- (7, 6) must be greater than 7 if (8, 7) is 7
- (9, 7) cannot be both 7 and 8
Smallest mus size: 11
Setting (1, 7) is not 2 because:
- (1, 7) cannot be both 2 and 7
- (1, 7) cannot be both 2 and 8
- (1, 7) cannot be both 2 and 9
- Some cell in column 7 must be 7 (Choices are: (1, 7), (4, 7), (8, 7), (9, 7))
- Some cell in column 7 must be 8 (Choices are: (1, 7), (4, 7), (9, 7))
- Some cell in column 7 must be 9 (Choices are: (1, 7), (4, 7))
- (4, 7) cannot be both 7 and 9
- (4, 7) cannot be both 8 and 9
- (7, 6) and (9, 7) cannot both be 8 as they are both seperated by knights move
- (7, 6) must be greater than 7 if (8, 7) is 7
- (9, 7) cannot be both 7 and 8
Smallest mus size: 11
Setting (4, 7) is not 5 because:
- (1, 7) cannot be both 7 and 9
- Some cell in column 7 must be 7 (Choices are: (1, 7), (4, 7), (8, 7), (9, 7))
- (1, 7) cannot be both 8 and 9
- Some cell in column 7 must be 8 (Choices are: (1, 7), (4, 7), (9, 7))
- Some cell in column 7 must be 9 (Choices are: (1, 7), (4, 7))
- (4, 7) cannot be both 5 and 7
- (4, 7) cannot be both 5 and 8
- (4, 7) cannot be both 5 and 9
- (7, 6) and (9, 7) cannot both be 8 as they are both seperated by knights move
- (7, 6) must be greater than 7 if (8, 7) is 7
- (9, 7) cannot be both 7 and 8
Smallest mus size: 11
Setting (4, 7) is not 6 because:
- (1, 7) cannot be both 7 and 9
- Some cell in column 7 must be 7 (Choices are: (1, 7), (4, 7), (8, 7), (9, 7))
- (1, 7) cannot be both 8 and 9
- Some cell in column 7 must be 8 (Choices are: (1, 7), (4, 7), (9, 7))
- Some cell in column 7 must be 9 (Choices are: (1, 7), (4, 7))
- (4, 7) cannot be both 6 and 7
- (4, 7) cannot be both 6 and 8
- (4, 7) cannot be both 6 and 9
- (7, 6) and (9, 7) cannot both be 8 as they are both seperated by knights move
- (7, 6) must be greater than 7 if (8, 7) is 7
- (9, 7) cannot be both 7 and 8
Smallest mus size: 14
Setting (9, 5) is not 7 because:
- (1, 7) cannot be both 7 and 8
- (1, 7) cannot be both 7 and 9
- Some cell in column 7 must be 7 (Choices are: (1, 7), (4, 7), (8, 7), (9, 7))
- (1, 7) cannot be both 8 and 9
- Some cell in column 7 must be 8 (Choices are: (1, 7), (4, 7), (9, 7))
- Some cell in column 7 must be 9 (Choices are: (1, 7), (4, 7))
- (4, 7) cannot be both 7 and 8
- (4, 7) cannot be both 7 and 9
- (4, 7) cannot be both 8 and 9
- (7, 6) must have some value (Choices are: 7, 8)
- (7, 6) and (9, 5) cannot both be 7 as they are both the cage starting at top-left position (6,3)
- (7, 6) and (9, 7) cannot both be 8 as they are both seperated by knights move
- (8, 7) and (9, 5) cannot both be 7 as they are both seperated by knights move
- (9, 5) and (9, 7) cannot both be 7 as they are both in row 9
Smallest mus size: 31
Setting (8, 7) is not 3 because:
- (2, 7) and (6, 7) cannot both be 1 as they are both in column 7
- (2, 7) must have some value (Choices are: 1, 2, 3, 4, 5, 6)
- (2, 7) and (3, 7) cannot both be 2 as they are both in column 7
- (2, 7) and (8, 7) cannot both be 3 as they are both in column 7
- (2, 7) and (7, 7) cannot both be 4 as they are both in column 7
- (3, 6) must be greater than 5 if (2, 7) is 5
- (2, 7) and (5, 7) cannot both be 5 as they are both in column 7
- (3, 6) must be greater than 6 if (2, 7) is 6
- (2, 7) and (4, 6) cannot both be 6 as they are both seperated by knights move
- (3, 6) and (5, 7) cannot both be 6 as they are both seperated by knights move
- (3, 6) and (4, 6) cannot both be 7 as they are both in column 6
- (3, 6) and (7, 6) cannot both be 7 as they are both in column 6
- (3, 7) and (6, 7) cannot both be 1 as they are both in column 7
- (3, 7) must have some value (Choices are: 1, 2, 3, 4)
- (3, 7) and (8, 7) cannot both be 3 as they are both in column 7
- (3, 7) and (7, 7) cannot both be 4 as they are both in column 7
- (4, 6) must have some value (Choices are: 5, 6, 7, 8, 9)
- (5, 7) must be less than 5 if (4, 6) is 5
- (4, 6) must be greater than 6 if (5, 7) is 6
- (4, 6) and (7, 6) cannot both be 8 as they are both in column 6
- (4, 6) and (6, 5) cannot both be 9 as they are both the cage starting at top-left position (3,3)
- (5, 7) must have some value (Choices are: 4, 5, 6)
- (5, 7) and (7, 7) cannot both be 4 as they are both in column 7
- (6, 5) must be greater than 8 if (7, 6) is 8
- (6, 7) and (7, 7) cannot both be 1 as they are both in column 7
- (6, 7) must be less than 2 if (7, 8) is 2
- (7, 6) must have some value (Choices are: 7, 8)
- (7, 7) must have some value (Choices are: 1, 2, 3, 4)
- (7, 7) and (7, 8) cannot both be 2 as they are both in row 7
- (7, 7) and (8, 7) cannot both be 3 as they are both in column 7
- (7, 8) must be less than 3 if (8, 7) is 3
Smallest mus size: 12
Setting (7, 7) is not 4 because:
- (6, 5) and (6, 6) cannot both be 9 as they are both in row 6
- (6, 5) must be greater than 8 if (7, 6) is 8
- (6, 6) and (8, 7) cannot both be 7 as they are both seperated by knights move
- (6, 6) must be greater than 6 if (7, 5) is 6
- (6, 6) and (7, 6) cannot both be 8 as they are both in column 6
- (7, 5) and (8, 7) cannot both be 6 as they are both seperated by knights move
- (7, 5) must be greater than 5 if (8, 6) is 5
- (7, 6) must be greater than 7 if (8, 7) is 7
- (8, 6) must be greater than 4 if (7, 7) is 4
- (7, 7) and (8, 7) cannot both be 4 as they are both in column 7
- (8, 6) and (8, 7) cannot both be 5 as they are both in row 8
- (8, 7) must have some value (Choices are: 4, 5, 6, 7)
Smallest mus size: 31
Setting (2, 7) is not 3 because:
- (3, 6) must be greater than 3 if (2, 7) is 3
- (2, 7) and (3, 7) cannot both be 3 as they are both in column 7
- (2, 7) and (4, 8) cannot both be 3 as they are both seperated by knights move
- (2, 7) and (6, 7) cannot both be 3 as they are both in column 7
- (2, 7) and (7, 7) cannot both be 3 as they are both in column 7
- (3, 6) and (3, 7) cannot both be 4 as they are both in row 3
- (3, 6) and (4, 8) cannot both be 5 as they are both seperated by knights move
- (3, 6) and (5, 7) cannot both be 6 as they are both seperated by knights move
- (4, 5) must be greater than 7 if (3, 6) is 7
- (3, 6) and (4, 6) cannot both be 7 as they are both in column 6
- (3, 7) and (6, 7) cannot both be 1 as they are both in column 7
- (3, 7) and (7, 7) cannot both be 1 as they are both in column 7
- (3, 7) must have some value (Choices are: 1, 2, 3, 4)
- (3, 7) and (6, 7) cannot both be 2 as they are both in column 7
- (3, 7) and (7, 7) cannot both be 2 as they are both in column 7
- (4, 8) must be greater than 4 if (3, 7) is 4
- (4, 5) and (4, 6) cannot both be 8 as they are both in row 4
- (4, 5) and (6, 5) cannot both be 8 as they are both in column 5
- (4, 6) must be greater than 6 if (5, 7) is 6
- (4, 6) and (6, 5) cannot both be 9 as they are both the cage starting at top-left position (3,3)
- (4, 8) must have some value (Choices are: 3, 4, 5)
- (4, 8) and (6, 7) cannot both be 4 as they are both the cage starting at top-left position (3,6)
- (5, 7) must be greater than 5 if (4, 8) is 5
- (4, 8) and (7, 8) cannot both be 5 as they are both in column 8
- (5, 7) and (7, 8) cannot both be 6 as they are both seperated by knights move
- (6, 5) must have some value (Choices are: 8, 9)
- (6, 7) and (7, 7) cannot both be 1 as they are both in column 7
- (6, 7) must have some value (Choices are: 1, 2, 3, 4)
- (6, 7) and (7, 7) cannot both be 2 as they are both in column 7
- (7, 8) must be greater than 4 if (6, 7) is 4
- (7, 7) must have some value (Choices are: 1, 2, 3)
Smallest mus size: 34
Setting (7, 5) is not 3 because:
- (2, 7) and (7, 7) cannot both be 1 as they are both in column 7
- (2, 7) must have some value (Choices are: 1, 2, 4, 5, 6)
- (2, 7) and (3, 7) cannot both be 2 as they are both in column 7
- (2, 7) and (6, 7) cannot both be 4 as they are both in column 7
- (3, 6) must be greater than 5 if (2, 7) is 5
- (2, 7) and (5, 7) cannot both be 5 as they are both in column 7
- (3, 6) must be greater than 6 if (2, 7) is 6
- (2, 7) and (4, 6) cannot both be 6 as they are both seperated by knights move
- (3, 6) and (5, 7) cannot both be 6 as they are both seperated by knights move
- (3, 6) and (4, 6) cannot both be 7 as they are both in column 6
- (3, 6) and (7, 6) cannot both be 7 as they are both in column 6
- (3, 7) and (7, 7) cannot both be 1 as they are both in column 7
- (3, 7) must be less than 3 if (4, 8) is 3
- (4, 6) must have some value (Choices are: 5, 6, 7, 8, 9)
- (5, 7) must be less than 5 if (4, 6) is 5
- (5, 7) must be less than 6 if (4, 6) is 6
- (4, 6) and (7, 6) cannot both be 8 as they are both in column 6
- (4, 6) and (6, 5) cannot both be 9 as they are both the cage starting at top-left position (3,3)
- (4, 8) must have some value (Choices are: 3, 4, 5)
- (4, 8) must be less than 5 if (5, 7) is 5
- (4, 8) and (6, 7) cannot both be 4 as they are both the cage starting at top-left position (3,6)
- (4, 8) and (7, 8) cannot both be 5 as they are both in column 8
- (5, 7) must have some value (Choices are: 4, 5, 6)
- (5, 7) and (6, 7) cannot both be 4 as they are both in column 7
- (5, 7) and (7, 8) cannot both be 6 as they are both seperated by knights move
- (6, 5) must be greater than 8 if (7, 6) is 8
- (6, 7) and (7, 7) cannot both be 1 as they are both in column 7
- (6, 7) must have some value (Choices are: 1, 2, 3, 4)
- (6, 7) and (8, 6) cannot both be 2 as they are both seperated by knights move
- (6, 7) and (7, 5) cannot both be 3 as they are both seperated by knights move
- (7, 8) must be greater than 4 if (6, 7) is 4
- (8, 6) must be less than 3 if (7, 5) is 3
- (7, 6) must have some value (Choices are: 7, 8)
- (7, 7) must be less than 2 if (8, 6) is 2
Smallest mus size: 15
Setting (6, 7) is not 4 because:
- (6, 5) and (6, 6) cannot both be 9 as they are both in row 6
- (6, 5) must be greater than 8 if (7, 6) is 8
- (6, 6) and (7, 8) cannot both be 6 as they are both seperated by knights move
- (6, 6) must be greater than 5 if (7, 5) is 5
- (6, 6) and (8, 7) cannot both be 7 as they are both seperated by knights move
- (6, 6) must be greater than 6 if (7, 5) is 6
- (6, 6) and (7, 6) cannot both be 8 as they are both in column 6
- (6, 7) and (7, 5) cannot both be 4 as they are both seperated by knights move
- (7, 8) must be greater than 4 if (6, 7) is 4
- (7, 5) must have some value (Choices are: 4, 5, 6)
- (7, 5) and (7, 8) cannot both be 5 as they are both in row 7
- (7, 5) and (8, 7) cannot both be 6 as they are both seperated by knights move
- (7, 6) must be greater than 7 if (8, 7) is 7
- (8, 7) must be greater than 5 if (7, 8) is 5
- (8, 7) must be greater than 6 if (7, 8) is 6
Smallest mus size: 31
Setting (5, 6) is not 8 because:
- (5, 6) and (6, 5) cannot both be 8 as they are both the cage starting at top-left position (3,3)
- (5, 6) and (6, 6) cannot both be 8 as they are both in column 6
- (5, 6) and (7, 6) cannot both be 8 as they are both in column 6
- (6, 5) must have some value (Choices are: 8, 9)
- (6, 5) and (6, 6) cannot both be 9 as they are both in row 6
- (6, 6) must have some value (Choices are: 5, 6, 7, 8, 9)
- (7, 5) must be less than 5 if (6, 6) is 5
- (6, 6) and (7, 8) cannot both be 5 as they are both seperated by knights move
- (7, 5) must be less than 6 if (6, 6) is 6
- (6, 6) and (8, 7) cannot both be 6 as they are both seperated by knights move
- (6, 6) and (7, 6) cannot both be 7 as they are both in column 6
- (6, 7) and (7, 7) cannot both be 1 as they are both in column 7
- (6, 7) must be less than 3 if (7, 8) is 3
- (6, 7) must be less than 2 if (7, 8) is 2
- (6, 7) and (8, 6) cannot both be 2 as they are both seperated by knights move
- (7, 5) and (7, 8) cannot both be 4 as they are both in row 7
- (8, 6) must be less than 4 if (7, 5) is 4
- (8, 6) must be less than 5 if (7, 5) is 5
- (7, 5) and (8, 7) cannot both be 5 as they are both seperated by knights move
- (7, 6) must have some value (Choices are: 7, 8)
- (7, 6) must be greater than 7 if (8, 7) is 7
- (7, 7) must be less than 3 if (8, 6) is 3
- (7, 7) must be less than 2 if (8, 6) is 2
- (7, 7) and (7, 8) cannot both be 2 as they are both in row 7
- (7, 8) must have some value (Choices are: 2, 3, 4, 5, 6)
- (7, 8) must be less than 4 if (8, 7) is 4
- (7, 8) and (8, 6) cannot both be 3 as they are both seperated by knights move
- (8, 7) must be greater than 5 if (7, 8) is 5
- (8, 7) must be greater than 6 if (7, 8) is 6
- (8, 6) and (8, 7) cannot both be 4 as they are both in row 8
- (8, 7) must have some value (Choices are: 4, 5, 6, 7)
Smallest mus size: 31
Setting (9, 7) is not 4 because:
- Some cell in column 7 must be 5 (Choices are: (2, 7), (5, 7), (8, 7), (9, 7))
- Some cell in column 7 must be 6 (Choices are: (2, 7), (5, 7), (8, 7), (9, 7))
- (1, 7) cannot be both 7 and 8
- (1, 7) cannot be both 7 and 9
- Some cell in column 7 must be 7 (Choices are: (1, 7), (4, 7), (8, 7), (9, 7))
- (1, 7) cannot be both 8 and 9
- Some cell in column 7 must be 8 (Choices are: (1, 7), (4, 7), (9, 7))
- Some cell in column 7 must be 9 (Choices are: (1, 7), (4, 7))
- (3, 6) must be greater than 5 if (2, 7) is 5
- (2, 7) and (4, 6) cannot both be 5 as they are both seperated by knights move
- (3, 6) must be greater than 6 if (2, 7) is 6
- (2, 7) and (4, 6) cannot both be 6 as they are both seperated by knights move
- (3, 6) and (5, 7) cannot both be 6 as they are both seperated by knights move
- (3, 6) and (4, 6) cannot both be 7 as they are both in column 6
- (4, 6) must have some value (Choices are: 5, 6, 7, 8, 9)
- (4, 6) must be greater than 5 if (5, 7) is 5
- (4, 6) must be greater than 6 if (5, 7) is 6
- (4, 6) and (7, 6) cannot both be 8 as they are both in column 6
- (4, 6) and (6, 5) cannot both be 9 as they are both the cage starting at top-left position (3,3)
- (4, 7) cannot be both 7 and 8
- (4, 7) cannot be both 7 and 9
- (4, 7) cannot be both 8 and 9
- (5, 7) cannot be both 5 and 6
- (6, 5) must be greater than 8 if (7, 6) is 8
- (7, 6) must be greater than 7 if (8, 7) is 7
- (8, 7) cannot be both 5 and 7
- (8, 7) cannot be both 6 and 7
- (9, 7) cannot be both 4 and 5
- (9, 7) cannot be both 4 and 6
- (9, 7) cannot be both 4 and 7
- (9, 7) cannot be both 4 and 8
Smallest mus size: 20
Setting (7, 8) is not 6 because:
- Some cell in column 7 must be 6 (Choices are: (2, 7), (5, 7), (8, 7), (9, 7))
- (3, 6) must be greater than 6 if (2, 7) is 6
- (2, 7) and (4, 6) cannot both be 6 as they are both seperated by knights move
- (4, 5) must be greater than 7 if (3, 6) is 7
- (3, 6) and (4, 6) cannot both be 7 as they are both in column 6
- (3, 6) and (6, 6) cannot both be 7 as they are both in column 6
- (4, 5) and (4, 6) cannot both be 8 as they are both in row 4
- (4, 5) and (6, 5) cannot both be 8 as they are both in column 5
- (4, 5) and (6, 6) cannot both be 8 as they are both the cage starting at top-left position (3,3)
- (4, 6) must have some value (Choices are: 5, 6, 7, 8, 9)
- (4, 6) and (6, 6) cannot both be 5 as they are both in column 6
- (4, 6) and (6, 5) cannot both be 9 as they are both the cage starting at top-left position (3,3)
- (5, 7) and (7, 8) cannot both be 6 as they are both seperated by knights move
- (6, 5) must have some value (Choices are: 8, 9)
- (6, 5) and (6, 6) cannot both be 9 as they are both in row 6
- (6, 6) must have some value (Choices are: 5, 6, 7, 8, 9)
- (6, 6) and (7, 8) cannot both be 6 as they are both seperated by knights move
- (8, 7) must be greater than 6 if (7, 8) is 6
- (7, 8) and (9, 7) cannot both be 6 as they are both the cage starting at top-left position (6,6)
- (8, 7) cannot be both 6 and 7
Smallest mus size: 13
Setting (6, 6) is not 5 because:
- (7, 5) must be less than 5 if (6, 6) is 5
- (6, 6) and (7, 8) cannot both be 5 as they are both seperated by knights move
- (6, 7) and (7, 7) cannot both be 1 as they are both in column 7
- (6, 7) must be less than 3 if (7, 8) is 3
- (6, 7) must be less than 2 if (7, 8) is 2
- (6, 7) and (8, 6) cannot both be 2 as they are both seperated by knights move
- (7, 5) and (7, 8) cannot both be 4 as they are both in row 7
- (8, 6) must be less than 4 if (7, 5) is 4
- (7, 7) must be less than 3 if (8, 6) is 3
- (7, 7) must be less than 2 if (8, 6) is 2
- (7, 7) and (7, 8) cannot both be 2 as they are both in row 7
- (7, 8) must have some value (Choices are: 2, 3, 4, 5)
- (7, 8) and (8, 6) cannot both be 3 as they are both seperated by knights move
Smallest mus size: 14
Setting (9, 4) is not 8 because:
- (1, 7) cannot be both 7 and 8
- (1, 7) cannot be both 7 and 9
- Some cell in column 7 must be 7 (Choices are: (1, 7), (4, 7), (8, 7), (9, 7))
- (1, 7) cannot be both 8 and 9
- Some cell in column 7 must be 8 (Choices are: (1, 7), (4, 7), (9, 7))
- Some cell in column 7 must be 9 (Choices are: (1, 7), (4, 7))
- (4, 7) cannot be both 7 and 8
- (4, 7) cannot be both 7 and 9
- (4, 7) cannot be both 8 and 9
- (7, 6) must have some value (Choices are: 7, 8)
- (7, 6) and (9, 7) cannot both be 7 as they are both seperated by knights move
- (7, 6) and (9, 4) cannot both be 8 as they are both the cage starting at top-left position (6,3)
- (7, 6) must be greater than 7 if (8, 7) is 7
- (9, 4) and (9, 7) cannot both be 8 as they are both in row 9
Smallest mus size: 24
Setting (2, 7) is not 5 because:
- (3, 6) must be greater than 5 if (2, 7) is 5
- (2, 7) and (4, 6) cannot both be 5 as they are both seperated by knights move
- (3, 6) and (4, 6) cannot both be 6 as they are both in column 6
- (3, 6) and (6, 6) cannot both be 6 as they are both in column 6
- (3, 6) and (4, 6) cannot both be 7 as they are both in column 6
- (3, 6) and (6, 6) cannot both be 7 as they are both in column 6
- (3, 6) and (7, 6) cannot both be 7 as they are both in column 6
- (4, 6) must have some value (Choices are: 5, 6, 7, 8, 9)
- (4, 6) and (6, 6) cannot both be 6 as they are both in column 6
- (4, 6) and (6, 6) cannot both be 7 as they are both in column 6
- (4, 6) and (7, 6) cannot both be 7 as they are both in column 6
- (4, 6) and (6, 5) cannot both be 8 as they are both the cage starting at top-left position (3,3)
- (4, 6) and (6, 6) cannot both be 8 as they are both in column 6
- (4, 6) and (7, 6) cannot both be 8 as they are both in column 6
- (4, 6) and (6, 5) cannot both be 9 as they are both the cage starting at top-left position (3,3)
- (4, 6) and (6, 6) cannot both be 9 as they are both in column 6
- (6, 5) must have some value (Choices are: 8, 9)
- (6, 5) and (6, 6) cannot both be 8 as they are both in row 6
- (6, 5) and (6, 6) cannot both be 9 as they are both in row 6
- (6, 5) must be greater than 8 if (7, 6) is 8
- (6, 6) must have some value (Choices are: 6, 7, 8, 9)
- (6, 6) and (7, 6) cannot both be 7 as they are both in column 6
- (6, 6) and (7, 6) cannot both be 8 as they are both in column 6
- (7, 6) must have some value (Choices are: 7, 8)
Smallest mus size: 4
Setting (7, 8) is not 5 because:
- Some cell in column 7 must be 5 (Choices are: (5, 7), (8, 7), (9, 7))
- (5, 7) and (7, 8) cannot both be 5 as they are both seperated by knights move
- (7, 8) and (8, 7) cannot both be 5 as they are both the cage starting at top-left position (6,6)
- (7, 8) and (9, 7) cannot both be 5 as they are both the cage starting at top-left position (6,6)
Smallest mus size: 11
Setting (7, 5) is not 4 because:
- (6, 7) and (7, 7) cannot both be 1 as they are both in column 7
- (6, 7) must be less than 3 if (7, 8) is 3
- (6, 7) must be less than 2 if (7, 8) is 2
- (6, 7) and (8, 6) cannot both be 2 as they are both seperated by knights move
- (7, 5) and (7, 8) cannot both be 4 as they are both in row 7
- (8, 6) must be less than 4 if (7, 5) is 4
- (7, 7) must be less than 3 if (8, 6) is 3
- (7, 7) must be less than 2 if (8, 6) is 2
- (7, 7) and (7, 8) cannot both be 2 as they are both in row 7
- (7, 8) must have some value (Choices are: 2, 3, 4)
- (7, 8) and (8, 6) cannot both be 3 as they are both seperated by knights move
Smallest mus size: 14
Setting (8, 5) is not 8 because:
- (1, 7) cannot be both 7 and 8
- (1, 7) cannot be both 7 and 9
- Some cell in column 7 must be 7 (Choices are: (1, 7), (4, 7), (8, 7), (9, 7))
- (1, 7) cannot be both 8 and 9
- Some cell in column 7 must be 8 (Choices are: (1, 7), (4, 7), (9, 7))
- Some cell in column 7 must be 9 (Choices are: (1, 7), (4, 7))
- (4, 7) cannot be both 7 and 8
- (4, 7) cannot be both 7 and 9
- (4, 7) cannot be both 8 and 9
- (7, 6) must have some value (Choices are: 7, 8)
- (7, 6) and (9, 7) cannot both be 7 as they are both seperated by knights move
- (7, 6) and (8, 5) cannot both be 8 as they are both the cage starting at top-left position (6,3)
- (7, 6) must be greater than 7 if (8, 7) is 7
- (8, 5) and (9, 7) cannot both be 8 as they are both seperated by knights move
Smallest mus size: 20
Setting (6, 4) is not 8 because:
- (4, 6) must have some value (Choices are: 5, 6, 7, 8, 9)
- (5, 7) must be less than 5 if (4, 6) is 5
- (4, 6) and (6, 6) cannot both be 6 as they are both in column 6
- (4, 6) and (7, 6) cannot both be 7 as they are both in column 6
- (4, 6) and (6, 4) cannot both be 8 as they are both the cage starting at top-left position (3,3)
- (4, 6) and (6, 5) cannot both be 9 as they are both the cage starting at top-left position (3,3)
- (5, 7) and (8, 7) cannot both be 4 as they are both in column 7
- (6, 4) and (6, 5) cannot both be 8 as they are both in row 6
- (6, 4) and (6, 6) cannot both be 8 as they are both in row 6
- (6, 4) and (7, 6) cannot both be 8 as they are both seperated by knights move
- (6, 5) must have some value (Choices are: 8, 9)
- (6, 5) and (6, 6) cannot both be 9 as they are both in row 6
- (6, 6) must have some value (Choices are: 6, 7, 8, 9)
- (7, 5) must be less than 6 if (6, 6) is 6
- (6, 6) and (8, 7) cannot both be 6 as they are both seperated by knights move
- (6, 6) and (7, 6) cannot both be 7 as they are both in column 6
- (7, 5) and (8, 7) cannot both be 5 as they are both seperated by knights move
- (7, 6) must have some value (Choices are: 7, 8)
- (7, 6) must be greater than 7 if (8, 7) is 7
- (8, 7) must have some value (Choices are: 4, 5, 6, 7)
Smallest mus size: 24
Setting (4, 6) is not 9 because:
- (4, 6) and (6, 5) cannot both be 9 as they are both the cage starting at top-left position (3,3)
- (4, 6) and (6, 6) cannot both be 9 as they are both in column 6
- (6, 5) must have some value (Choices are: 8, 9)
- (6, 5) and (6, 6) cannot both be 8 as they are both in row 6
- (6, 5) must be greater than 8 if (7, 6) is 8
- (6, 6) must have some value (Choices are: 6, 7, 8, 9)
- (7, 5) must be less than 6 if (6, 6) is 6
- (6, 6) and (8, 7) cannot both be 6 as they are both seperated by knights move
- (6, 6) and (7, 6) cannot both be 7 as they are both in column 6
- (6, 7) and (7, 7) cannot both be 1 as they are both in column 7
- (6, 7) must be less than 3 if (7, 8) is 3
- (6, 7) must be less than 2 if (7, 8) is 2
- (6, 7) and (8, 6) cannot both be 2 as they are both seperated by knights move
- (8, 6) must be less than 5 if (7, 5) is 5
- (7, 5) and (8, 7) cannot both be 5 as they are both seperated by knights move
- (7, 6) must have some value (Choices are: 7, 8)
- (7, 6) must be greater than 7 if (8, 7) is 7
- (7, 7) must be less than 3 if (8, 6) is 3
- (7, 7) must be less than 2 if (8, 6) is 2
- (7, 7) and (7, 8) cannot both be 2 as they are both in row 7
- (7, 8) must be less than 4 if (8, 7) is 4
- (7, 8) and (8, 6) cannot both be 3 as they are both seperated by knights move
- (8, 6) and (8, 7) cannot both be 4 as they are both in row 8
- (8, 7) must have some value (Choices are: 4, 5, 6, 7)
Smallest mus size: 24
Setting (5, 5) is not 8 because:
- (5, 5) and (6, 5) cannot both be 8 as they are both in column 5
- (5, 5) and (6, 6) cannot both be 8 as they are both the cage starting at top-left position (3,3)
- (5, 5) and (7, 6) cannot both be 8 as they are both seperated by knights move
- (6, 5) must be greater than 7 if (7, 6) is 7
- (6, 5) and (6, 6) cannot both be 9 as they are both in row 6
- (6, 6) must have some value (Choices are: 6, 7, 8, 9)
- (7, 5) must be less than 6 if (6, 6) is 6
- (6, 6) and (8, 7) cannot both be 6 as they are both seperated by knights move
- (6, 6) and (7, 6) cannot both be 7 as they are both in column 6
- (6, 7) and (7, 7) cannot both be 1 as they are both in column 7
- (6, 7) must be less than 3 if (7, 8) is 3
- (6, 7) must be less than 2 if (7, 8) is 2
- (6, 7) and (8, 6) cannot both be 2 as they are both seperated by knights move
- (8, 6) must be less than 5 if (7, 5) is 5
- (7, 5) and (8, 7) cannot both be 5 as they are both seperated by knights move
- (7, 6) must have some value (Choices are: 7, 8)
- (7, 6) must be greater than 7 if (8, 7) is 7
- (7, 7) must be less than 3 if (8, 6) is 3
- (7, 7) must be less than 2 if (8, 6) is 2
- (7, 7) and (7, 8) cannot both be 2 as they are both in row 7
- (7, 8) must be less than 4 if (8, 7) is 4
- (7, 8) and (8, 6) cannot both be 3 as they are both seperated by knights move
- (8, 6) and (8, 7) cannot both be 4 as they are both in row 8
- (8, 7) must have some value (Choices are: 4, 5, 6, 7)
Smallest mus size: 24
Setting (8, 5) is not 6 because:
- (6, 5) and (6, 6) cannot both be 9 as they are both in row 6
- (6, 5) must be greater than 8 if (7, 6) is 8
- (6, 6) must have some value (Choices are: 6, 7, 8, 9)
- (6, 6) and (8, 5) cannot both be 6 as they are both seperated by knights move
- (6, 6) and (8, 7) cannot both be 7 as they are both seperated by knights move
- (6, 6) and (7, 6) cannot both be 8 as they are both in column 6
- (6, 7) and (7, 7) cannot both be 1 as they are both in column 7
- (6, 7) must be less than 3 if (7, 8) is 3
- (6, 7) must be less than 2 if (7, 8) is 2
- (6, 7) and (8, 6) cannot both be 2 as they are both seperated by knights move
- (7, 5) must have some value (Choices are: 5, 6)
- (7, 5) and (8, 7) cannot both be 5 as they are both seperated by knights move
- (7, 5) and (8, 5) cannot both be 6 as they are both in column 5
- (7, 5) must be greater than 5 if (8, 6) is 5
- (7, 6) must be greater than 7 if (8, 7) is 7
- (7, 7) must be less than 3 if (8, 6) is 3
- (7, 7) must be less than 2 if (8, 6) is 2
- (7, 7) and (7, 8) cannot both be 2 as they are both in row 7
- (7, 8) must be less than 4 if (8, 7) is 4
- (7, 8) and (8, 6) cannot both be 3 as they are both seperated by knights move
- (8, 5) and (8, 7) cannot both be 6 as they are both in row 8
- (8, 6) must have some value (Choices are: 2, 3, 4, 5)
- (8, 6) and (8, 7) cannot both be 4 as they are both in row 8
- (8, 7) must have some value (Choices are: 4, 5, 6, 7)
Smallest mus size: 25
Setting (3, 6) is not 4 because:
- Some cell in column 7 must be 4 (Choices are: (2, 7), (3, 7), (5, 7), (8, 7))
- (2, 7) and (6, 7) cannot both be 1 as they are both in column 7
- (2, 7) and (7, 7) cannot both be 1 as they are both in column 7
- (2, 7) must have some value (Choices are: 1, 2, 4, 6)
- (2, 7) and (3, 7) cannot both be 2 as they are both in column 7
- (2, 7) and (6, 7) cannot both be 2 as they are both in column 7
- (2, 7) and (7, 7) cannot both be 2 as they are both in column 7
- (3, 6) must be greater than 4 if (2, 7) is 4
- (3, 6) must be greater than 6 if (2, 7) is 6
- (3, 6) cannot be both 4 and 5
- (3, 6) cannot be both 4 and 6
- (3, 6) cannot be both 4 and 7
- (3, 6) and (3, 7) cannot both be 4 as they are both in row 3
- (3, 7) and (6, 7) cannot both be 1 as they are both in column 7
- (3, 7) must have some value (Choices are: 1, 2, 3, 4)
- (3, 7) and (7, 7) cannot both be 3 as they are both in column 7
- (5, 7) and (7, 8) cannot both be 4 as they are both seperated by knights move
- (6, 7) and (7, 7) cannot both be 1 as they are both in column 7
- (6, 7) must be less than 3 if (7, 8) is 3
- (6, 7) must be less than 2 if (7, 8) is 2
- (6, 7) and (7, 7) cannot both be 2 as they are both in column 7
- (7, 7) must have some value (Choices are: 1, 2, 3)
- (7, 7) and (7, 8) cannot both be 3 as they are both in row 7
- (7, 8) must have some value (Choices are: 2, 3, 4)
- (7, 8) and (8, 7) cannot both be 4 as they are both the cage starting at top-left position (6,6)
Smallest mus size: 24
Setting (4, 6) is not 8 because:
- (4, 6) and (6, 5) cannot both be 8 as they are both the cage starting at top-left position (3,3)
- (4, 6) and (6, 6) cannot both be 8 as they are both in column 6
- (4, 6) and (7, 6) cannot both be 8 as they are both in column 6
- (6, 5) must be greater than 7 if (7, 6) is 7
- (6, 5) and (6, 6) cannot both be 9 as they are both in row 6
- (6, 6) must have some value (Choices are: 6, 7, 8, 9)
- (7, 5) must be less than 6 if (6, 6) is 6
- (6, 6) and (8, 7) cannot both be 6 as they are both seperated by knights move
- (6, 6) and (7, 6) cannot both be 7 as they are both in column 6
- (6, 7) and (7, 7) cannot both be 1 as they are both in column 7
- (6, 7) must be less than 3 if (7, 8) is 3
- (6, 7) must be less than 2 if (7, 8) is 2
- (6, 7) and (8, 6) cannot both be 2 as they are both seperated by knights move
- (8, 6) must be less than 5 if (7, 5) is 5
- (7, 5) and (8, 7) cannot both be 5 as they are both seperated by knights move
- (7, 6) must have some value (Choices are: 7, 8)
- (7, 6) must be greater than 7 if (8, 7) is 7
- (7, 7) must be less than 3 if (8, 6) is 3
- (7, 7) must be less than 2 if (8, 6) is 2
- (7, 7) and (7, 8) cannot both be 2 as they are both in row 7
- (7, 8) must be less than 4 if (8, 7) is 4
- (7, 8) and (8, 6) cannot both be 3 as they are both seperated by knights move
- (8, 6) and (8, 7) cannot both be 4 as they are both in row 8
- (8, 7) must have some value (Choices are: 4, 5, 6, 7)
Smallest mus size: 20
Setting (9, 7) is not 8 because:
- Some cell in column 7 must be 4 (Choices are: (2, 7), (3, 7), (5, 7), (8, 7))
- Some cell in column 7 must be 5 (Choices are: (5, 7), (8, 7), (9, 7))
- Some cell in column 7 must be 6 (Choices are: (2, 7), (5, 7), (8, 7), (9, 7))
- (3, 6) must be greater than 4 if (2, 7) is 4
- (3, 6) must be greater than 6 if (2, 7) is 6
- (3, 6) and (5, 7) cannot both be 5 as they are both seperated by knights move
- (3, 6) and (4, 6) cannot both be 6 as they are both in column 6
- (3, 6) and (7, 6) cannot both be 7 as they are both in column 6
- (4, 8) must be greater than 4 if (3, 7) is 4
- (4, 6) must be greater than 5 if (5, 7) is 5
- (4, 6) and (7, 6) cannot both be 7 as they are both in column 6
- (4, 6) must be greater than 6 if (5, 7) is 6
- (5, 7) must be greater than 5 if (4, 8) is 5
- (5, 7) cannot be both 4 and 5
- (7, 6) must have some value (Choices are: 7, 8)
- (7, 6) and (9, 7) cannot both be 8 as they are both seperated by knights move
- (8, 7) cannot be both 4 and 6
- (8, 7) cannot be both 5 and 6
- (9, 7) cannot be both 5 and 8
- (9, 7) cannot be both 6 and 8
Smallest mus size: 3
Setting (2, 8) is not 8 because:
- (1, 7) and (2, 8) cannot both be 8 as they are both the cage starting at top-left position (0,6)
- Some cell in column 7 must be 8 (Choices are: (1, 7), (4, 7))
- (2, 8) and (4, 7) cannot both be 8 as they are both seperated by knights move
Smallest mus size: 3
Setting (3, 9) is not 8 because:
- (1, 7) and (3, 9) cannot both be 8 as they are both the cage starting at top-left position (0,6)
- Some cell in column 7 must be 8 (Choices are: (1, 7), (4, 7))
- (3, 9) and (4, 7) cannot both be 8 as they are both seperated by knights move
Smallest mus size: 5
Setting (1, 7) is not 3 because:
- (1, 7) cannot be both 3 and 8
- (1, 7) cannot be both 3 and 9
- Some cell in column 7 must be 8 (Choices are: (1, 7), (4, 7))
- Some cell in column 7 must be 9 (Choices are: (1, 7), (4, 7))
- (4, 7) cannot be both 8 and 9
Smallest mus size: 5
Setting (1, 7) is not 7 because:
- (1, 7) cannot be both 7 and 8
- (1, 7) cannot be both 7 and 9
- Some cell in column 7 must be 8 (Choices are: (1, 7), (4, 7))
- Some cell in column 7 must be 9 (Choices are: (1, 7), (4, 7))
- (4, 7) cannot be both 8 and 9
Smallest mus size: 5
Setting (4, 7) is not 7 because:
- (1, 7) cannot be both 8 and 9
- Some cell in column 7 must be 8 (Choices are: (1, 7), (4, 7))
- Some cell in column 7 must be 9 (Choices are: (1, 7), (4, 7))
- (4, 7) cannot be both 7 and 8
- (4, 7) cannot be both 7 and 9
Smallest mus size: 3
Setting (7, 6) is not 7 because:
- Some cell in column 7 must be 7 (Choices are: (8, 7), (9, 7))
- (8, 7) and (7, 6) cannot be 7 and 7 as they must be ordered
- (7, 6) and (9, 7) cannot both be 7 as they are both seperated by knights move
Doing 2 simple deductions
Doing 14 simple deductions
Doing 10 simple deductions
Doing 1 simple deductions
Doing 12 simple deductions
Smallest mus size: 3
Setting (4, 9) is not 9 because:
- (4, 9) and (7, 9) cannot both be 9 as they are both in column 9
- (4, 9) and (8, 9) cannot both be 9 as they are both in column 9
- Some cell the cage starting at top-left position (6,6) must be 9 (Choices are: (7, 9), (8, 9))
Smallest mus size: 3
Setting (1, 9) is not 9 because:
- (1, 9) and (7, 9) cannot both be 9 as they are both in column 9
- (1, 9) and (8, 9) cannot both be 9 as they are both in column 9
- Some cell the cage starting at top-left position (6,6) must be 9 (Choices are: (7, 9), (8, 9))
Smallest mus size: 3
Setting (8, 8) is not 7 because:
- Some cell in column 7 must be 7 (Choices are: (8, 7), (9, 7))
- (8, 7) and (8, 8) cannot both be 7 as they are both in row 8
- (8, 8) and (9, 7) cannot both be 7 as they are both the cage starting at top-left position (6,6)
Smallest mus size: 3
Setting (5, 9) is not 9 because:
- (5, 9) and (7, 9) cannot both be 9 as they are both in column 9
- (5, 9) and (8, 9) cannot both be 9 as they are both in column 9
- Some cell the cage starting at top-left position (6,6) must be 9 (Choices are: (7, 9), (8, 9))
Smallest mus size: 3
Setting (9, 8) is not 7 because:
- Some cell in column 7 must be 7 (Choices are: (8, 7), (9, 7))
- (8, 7) and (9, 8) cannot both be 7 as they are both the cage starting at top-left position (6,6)
- (9, 7) and (9, 8) cannot both be 7 as they are both in row 9
Smallest mus size: 4
Setting (3, 5) is not 1 because:
- (1, 6) and (3, 5) cannot both be 1 as they are both the cage starting at top-left position (0,3)
- Some cell in column 6 must be 1 (Choices are: (1, 6), (2, 6), (5, 6))
- (2, 6) and (3, 5) cannot both be 1 as they are both the cage starting at top-left position (0,3)
- (3, 5) and (5, 6) cannot both be 1 as they are both seperated by knights move
Smallest mus size: 5
Setting (4, 7) is not 1 because:
- (1, 7) cannot be both 8 and 9
- Some cell in column 7 must be 8 (Choices are: (1, 7), (4, 7))
- Some cell in column 7 must be 9 (Choices are: (1, 7), (4, 7))
- (4, 7) cannot be both 1 and 8
- (4, 7) cannot be both 1 and 9
Smallest mus size: 3
Setting (7, 9) is not 7 because:
- Some cell in column 7 must be 7 (Choices are: (8, 7), (9, 7))
- (7, 9) and (8, 7) cannot both be 7 as they are both the cage starting at top-left position (6,6)
- (7, 9) and (9, 7) cannot both be 7 as they are both the cage starting at top-left position (6,6)
Smallest mus size: 5
Setting (4, 7) is not 2 because:
- (1, 7) cannot be both 8 and 9
- Some cell in column 7 must be 8 (Choices are: (1, 7), (4, 7))
- Some cell in column 7 must be 9 (Choices are: (1, 7), (4, 7))
- (4, 7) cannot be both 2 and 8
- (4, 7) cannot be both 2 and 9
Smallest mus size: 5
Setting (4, 7) is not 3 because:
- (1, 7) cannot be both 8 and 9
- Some cell in column 7 must be 8 (Choices are: (1, 7), (4, 7))
- Some cell in column 7 must be 9 (Choices are: (1, 7), (4, 7))
- (4, 7) cannot be both 3 and 8
- (4, 7) cannot be both 3 and 9
Smallest mus size: 5
Setting (1, 7) is not 1 because:
- (1, 7) cannot be both 1 and 8
- (1, 7) cannot be both 1 and 9
- Some cell in column 7 must be 8 (Choices are: (1, 7), (4, 7))
- Some cell in column 7 must be 9 (Choices are: (1, 7), (4, 7))
- (4, 7) cannot be both 8 and 9
Smallest mus size: 3
Setting (8, 9) is not 7 because:
- Some cell in column 7 must be 7 (Choices are: (8, 7), (9, 7))
- (8, 7) and (8, 9) cannot both be 7 as they are both in row 8
- (8, 9) and (9, 7) cannot both be 7 as they are both the cage starting at top-left position (6,6)
Smallest mus size: 5
Setting (6, 4) is not 7 because:
- (6, 4) and (7, 4) cannot both be 7 as they are both in column 4
- (6, 4) and (8, 4) cannot both be 7 as they are both in column 4
- (6, 4) and (8, 5) cannot both be 7 as they are both seperated by knights move
- (6, 4) and (9, 4) cannot both be 7 as they are both in column 4
- Some cell the cage starting at top-left position (6,3) must be 7 (Choices are: (7, 4), (8, 4), (8, 5), (9, 4))
Smallest mus size: 5
Setting (8, 2) is not 7 because:
- (7, 1) and (8, 2) cannot both be 7 as they are both the cage starting at top-left position (6,0)
- Some cell in row 7 must be 7 (Choices are: (7, 1), (7, 2), (7, 3), (7, 4))
- (7, 2) and (8, 2) cannot both be 7 as they are both in column 2
- (7, 3) and (8, 2) cannot both be 7 as they are both the cage starting at top-left position (6,0)
- (7, 4) and (8, 2) cannot both be 7 as they are both seperated by knights move
Smallest mus size: 5
Setting (9, 3) is not 7 because:
- (7, 1) and (9, 3) cannot both be 7 as they are both the cage starting at top-left position (6,0)
- Some cell in row 7 must be 7 (Choices are: (7, 1), (7, 2), (7, 3), (7, 4))
- (7, 2) and (9, 3) cannot both be 7 as they are both the cage starting at top-left position (6,0)
- (7, 3) and (9, 3) cannot both be 7 as they are both in column 3
- (7, 4) and (9, 3) cannot both be 7 as they are both seperated by knights move
Smallest mus size: 3
Setting (8, 5) is not 7 because:
- Some cell in column 7 must be 7 (Choices are: (8, 7), (9, 7))
- (8, 5) and (8, 7) cannot both be 7 as they are both in row 8
- (8, 5) and (9, 7) cannot both be 7 as they are both seperated by knights move
Smallest mus size: 5
Setting (3, 6) is not 7 because:
- (1, 5) and (3, 6) cannot both be 7 as they are both the cage starting at top-left position (0,3)
- Some cell in column 5 must be 7 (Choices are: (1, 5), (3, 5), (4, 5), (5, 5))
- (3, 5) and (3, 6) cannot both be 7 as they are both in row 3
- (3, 6) and (4, 5) cannot be 7 and 7 as they must be ordered
- (3, 6) and (5, 5) cannot both be 7 as they are both seperated by knights move
Doing 1 simple deductions
Smallest mus size: 4
Setting (4, 2) is not 8 because:
- (4, 2) and (4, 4) cannot both be 8 as they are both in row 4
- (4, 2) and (4, 5) cannot both be 8 as they are both in row 4
- (4, 2) and (5, 4) cannot both be 8 as they are both seperated by knights move
- Some cell the cage starting at top-left position (3,3) must be 8 (Choices are: (4, 4), (4, 5), (5, 4))
Smallest mus size: 4
Setting (3, 4) is not 7 because:
- (3, 4) and (7, 4) cannot both be 7 as they are both in column 4
- (3, 4) and (8, 4) cannot both be 7 as they are both in column 4
- (3, 4) and (9, 4) cannot both be 7 as they are both in column 4
- Some cell the cage starting at top-left position (6,3) must be 7 (Choices are: (7, 4), (8, 4), (9, 4))
Smallest mus size: 3
Setting (9, 9) is not 7 because:
- Some cell in column 7 must be 7 (Choices are: (8, 7), (9, 7))
- (8, 7) and (9, 9) cannot both be 7 as they are both the cage starting at top-left position (6,6)
- (9, 7) and (9, 9) cannot both be 7 as they are both in row 9
Smallest mus size: 4
Setting (4, 4) is not 7 because:
- (4, 4) and (7, 4) cannot both be 7 as they are both in column 4
- (4, 4) and (8, 4) cannot both be 7 as they are both in column 4
- (4, 4) and (9, 4) cannot both be 7 as they are both in column 4
- Some cell the cage starting at top-left position (6,3) must be 7 (Choices are: (7, 4), (8, 4), (9, 4))
Smallest mus size: 6
Setting (1, 1) is not 8 because:
- (1, 1) and (1, 5) cannot both be 8 as they are both in row 1
- (1, 1) and (1, 7) cannot both be 8 as they are both in row 1
- Some cell in column 5 must be 8 (Choices are: (1, 5), (3, 5), (4, 5))
- Some cell in column 7 must be 8 (Choices are: (1, 7), (4, 7))
- (3, 5) and (4, 7) cannot both be 8 as they are both seperated by knights move
- (4, 5) and (4, 7) cannot both be 8 as they are both in row 4
Smallest mus size: 6
Setting (1, 2) is not 8 because:
- (1, 2) and (1, 5) cannot both be 8 as they are both in row 1
- (1, 2) and (1, 7) cannot both be 8 as they are both in row 1
- Some cell in column 5 must be 8 (Choices are: (1, 5), (3, 5), (4, 5))
- Some cell in column 7 must be 8 (Choices are: (1, 7), (4, 7))
- (3, 5) and (4, 7) cannot both be 8 as they are both seperated by knights move
- (4, 5) and (4, 7) cannot both be 8 as they are both in row 4
Smallest mus size: 4
Setting (5, 4) is not 7 because:
- (5, 4) and (7, 4) cannot both be 7 as they are both in column 4
- (5, 4) and (8, 4) cannot both be 7 as they are both in column 4
- (5, 4) and (9, 4) cannot both be 7 as they are both in column 4
- Some cell the cage starting at top-left position (6,3) must be 7 (Choices are: (7, 4), (8, 4), (9, 4))
Smallest mus size: 6
Setting (1, 3) is not 8 because:
- (1, 3) and (1, 5) cannot both be 8 as they are both in row 1
- (1, 3) and (1, 7) cannot both be 8 as they are both in row 1
- Some cell in column 5 must be 8 (Choices are: (1, 5), (3, 5), (4, 5))
- Some cell in column 7 must be 8 (Choices are: (1, 7), (4, 7))
- (3, 5) and (4, 7) cannot both be 8 as they are both seperated by knights move
- (4, 5) and (4, 7) cannot both be 8 as they are both in row 4
Smallest mus size: 6
Setting (1, 8) is not 8 because:
- (1, 5) and (1, 8) cannot both be 8 as they are both in row 1
- Some cell in column 5 must be 8 (Choices are: (1, 5), (3, 5), (4, 5))
- (1, 7) and (1, 8) cannot both be 8 as they are both in row 1
- Some cell in column 7 must be 8 (Choices are: (1, 7), (4, 7))
- (3, 5) and (4, 7) cannot both be 8 as they are both seperated by knights move
- (4, 5) and (4, 7) cannot both be 8 as they are both in row 4
Smallest mus size: 6
Setting (1, 9) is not 8 because:
- (1, 5) and (1, 9) cannot both be 8 as they are both in row 1
- Some cell in column 5 must be 8 (Choices are: (1, 5), (3, 5), (4, 5))
- (1, 7) and (1, 9) cannot both be 8 as they are both in row 1
- Some cell in column 7 must be 8 (Choices are: (1, 7), (4, 7))
- (3, 5) and (4, 7) cannot both be 8 as they are both seperated by knights move
- (4, 5) and (4, 7) cannot both be 8 as they are both in row 4
Smallest mus size: 6
Setting (4, 3) is not 8 because:
- (1, 5) and (1, 7) cannot both be 8 as they are both in row 1
- Some cell in column 5 must be 8 (Choices are: (1, 5), (3, 5), (4, 5))
- Some cell in column 7 must be 8 (Choices are: (1, 7), (4, 7))
- (3, 5) and (4, 3) cannot both be 8 as they are both seperated by knights move
- (4, 3) and (4, 5) cannot both be 8 as they are both in row 4
- (4, 3) and (4, 7) cannot both be 8 as they are both in row 4
Smallest mus size: 8
Setting (3, 3) is not 8 because:
- (1, 5) and (1, 7) cannot both be 8 as they are both in row 1
- Some cell in column 5 must be 8 (Choices are: (1, 5), (3, 5), (4, 5))
- Some cell in column 7 must be 8 (Choices are: (1, 7), (4, 7))
- (3, 3) and (3, 5) cannot both be 8 as they are both in row 3
- (3, 3) and (4, 5) cannot both be 8 as they are both seperated by knights move
- (3, 3) and (5, 4) cannot both be 8 as they are both seperated by knights move
- (4, 4) and (4, 7) cannot both be 8 as they are both in row 4
- Some cell the cage starting at top-left position (3,3) must be 8 (Choices are: (4, 4), (4, 5), (5, 4))
Smallest mus size: 8
Setting (4, 1) is not 8 because:
- (1, 5) and (1, 7) cannot both be 8 as they are both in row 1
- Some cell in column 5 must be 8 (Choices are: (1, 5), (3, 5), (4, 5))
- Some cell in column 7 must be 8 (Choices are: (1, 7), (4, 7))
- (3, 5) and (5, 4) cannot both be 8 as they are both seperated by knights move
- (4, 1) and (4, 4) cannot both be 8 as they are both in row 4
- (4, 1) and (4, 5) cannot both be 8 as they are both in row 4
- (4, 1) and (4, 7) cannot both be 8 as they are both in row 4
- Some cell the cage starting at top-left position (3,3) must be 8 (Choices are: (4, 4), (4, 5), (5, 4))
Smallest mus size: 8
Setting (4, 9) is not 8 because:
- (1, 5) and (1, 7) cannot both be 8 as they are both in row 1
- Some cell in column 5 must be 8 (Choices are: (1, 5), (3, 5), (4, 5))
- Some cell in column 7 must be 8 (Choices are: (1, 7), (4, 7))
- (3, 5) and (5, 4) cannot both be 8 as they are both seperated by knights move
- (4, 4) and (4, 9) cannot both be 8 as they are both in row 4
- Some cell the cage starting at top-left position (3,3) must be 8 (Choices are: (4, 4), (4, 5), (5, 4))
- (4, 5) and (4, 9) cannot both be 8 as they are both in row 4
- (4, 7) and (4, 9) cannot both be 8 as they are both in row 4
Smallest mus size: 8
Setting (6, 8) is not 6 because:
- Some cell in column 7 must be 6 (Choices are: (5, 7), (8, 7), (9, 7))
- Some cell in column 7 must be 7 (Choices are: (8, 7), (9, 7))
- (5, 7) and (6, 8) cannot both be 6 as they are both the cage starting at top-left position (3,6)
- (6, 6) must have some value (Choices are: 6, 7)
- (6, 6) and (6, 8) cannot both be 6 as they are both in row 6
- (6, 6) and (8, 7) cannot both be 7 as they are both seperated by knights move
- (6, 8) and (8, 7) cannot both be 6 as they are both seperated by knights move
- (9, 7) cannot be both 6 and 7
Smallest mus size: 8
Setting (7, 5) is not 6 because:
- Some cell in column 7 must be 6 (Choices are: (5, 7), (8, 7), (9, 7))
- Some cell in column 7 must be 7 (Choices are: (8, 7), (9, 7))
- (4, 6) and (6, 6) cannot both be 7 as they are both in column 6
- (4, 6) must be greater than 6 if (5, 7) is 6
- (6, 6) and (8, 7) cannot both be 7 as they are both seperated by knights move
- (6, 6) must be greater than 6 if (7, 5) is 6
- (7, 5) and (8, 7) cannot both be 6 as they are both seperated by knights move
- (9, 7) cannot be both 6 and 7
Doing 2 simple deductions
Doing 19 simple deductions
Smallest mus size: 4
Setting (3, 4) is not 5 because:
- (3, 4) and (4, 4) cannot both be 5 as they are both in column 4
- (3, 4) and (4, 6) cannot both be 5 as they are both seperated by knights move
- (3, 4) and (6, 4) cannot both be 5 as they are both in column 4
- Some cell the cage starting at top-left position (3,3) must be 5 (Choices are: (4, 4), (4, 6), (6, 4))
Smallest mus size: 4
Setting (4, 3) is not 5 because:
- (4, 3) and (4, 4) cannot both be 5 as they are both in row 4
- (4, 3) and (4, 6) cannot both be 5 as they are both in row 4
- (4, 3) and (6, 4) cannot both be 5 as they are both seperated by knights move
- Some cell the cage starting at top-left position (3,3) must be 5 (Choices are: (4, 4), (4, 6), (6, 4))
Smallest mus size: 8
Setting (5, 7) is not 4 because:
- Some cell in column 7 must be 5 (Choices are: (5, 7), (9, 7))
- Some cell in column 7 must be 6 (Choices are: (5, 7), (8, 7), (9, 7))
- Some cell in column 7 must be 7 (Choices are: (8, 7), (9, 7))
- (5, 7) cannot be both 4 and 5
- (5, 7) cannot be both 4 and 6
- (8, 7) cannot be both 6 and 7
- (9, 7) cannot be both 5 and 6
- (9, 7) cannot be both 5 and 7
Doing 1 simple deductions
Smallest mus size: 3
Setting (1, 4) is not 5 because:
- (1, 4) and (4, 4) cannot both be 5 as they are both in column 4
- (1, 4) and (6, 4) cannot both be 5 as they are both in column 4
- Some cell the cage starting at top-left position (3,3) must be 5 (Choices are: (4, 4), (6, 4))
Smallest mus size: 3
Setting (5, 2) is not 5 because:
- (4, 4) and (5, 2) cannot both be 5 as they are both seperated by knights move
- Some cell the cage starting at top-left position (3,3) must be 5 (Choices are: (4, 4), (6, 4))
- (5, 2) and (6, 4) cannot both be 5 as they are both seperated by knights move
Smallest mus size: 4
Setting (2, 8) is not 5 because:
- (1, 6) and (2, 8) cannot both be 5 as they are both seperated by knights move
- Some cell in column 6 must be 5 (Choices are: (1, 6), (2, 6), (3, 6))
- (2, 6) and (2, 8) cannot both be 5 as they are both in row 2
- (2, 8) and (3, 6) cannot both be 5 as they are both seperated by knights move
Smallest mus size: 5
Setting (1, 6) is not 7 because:
- (1, 6) and (4, 6) cannot both be 7 as they are both in column 6
- (1, 6) and (6, 6) cannot both be 7 as they are both in column 6
- (4, 6) must have some value (Choices are: 6, 7)
- (4, 6) and (6, 6) cannot both be 6 as they are both in column 6
- (6, 6) must have some value (Choices are: 6, 7)
Smallest mus size: 4
Setting (2, 3) is not 7 because:
- Some cell the cage starting at top-left position (0,3) must be 7 (Choices are: (1, 5), (2, 6), (3, 5))
- (1, 5) and (2, 3) cannot both be 7 as they are both seperated by knights move
- (2, 3) and (2, 6) cannot both be 7 as they are both in row 2
- (2, 3) and (3, 5) cannot both be 7 as they are both seperated by knights move
Doing 1 simple deductions
Doing 1 simple deductions
Smallest mus size: 5
Setting (2, 6) is not 6 because:
- (2, 6) and (4, 6) cannot both be 6 as they are both in column 6
- (2, 6) and (6, 6) cannot both be 6 as they are both in column 6
- (4, 6) must have some value (Choices are: 6, 7)
- (4, 6) and (6, 6) cannot both be 7 as they are both in column 6
- (6, 6) must have some value (Choices are: 6, 7)
Smallest mus size: 5
Setting (1, 6) is not 6 because:
- (1, 6) and (4, 6) cannot both be 6 as they are both in column 6
- (1, 6) and (6, 6) cannot both be 6 as they are both in column 6
- (4, 6) must have some value (Choices are: 6, 7)
- (4, 6) and (6, 6) cannot both be 7 as they are both in column 6
- (6, 6) must be greater than 5 if (7, 5) is 5
Smallest mus size: 5
Setting (2, 6) is not 7 because:
- (2, 6) and (4, 6) cannot both be 7 as they are both in column 6
- (2, 6) and (6, 6) cannot both be 7 as they are both in column 6
- (4, 6) must have some value (Choices are: 6, 7)
- (4, 6) and (6, 6) cannot both be 6 as they are both in column 6
- (6, 6) must have some value (Choices are: 6, 7)
Smallest mus size: 5
Setting (3, 6) is not 6 because:
- (3, 6) and (4, 6) cannot both be 6 as they are both in column 6
- (3, 6) and (6, 6) cannot both be 6 as they are both in column 6
- (4, 6) must have some value (Choices are: 6, 7)
- (4, 6) and (6, 6) cannot both be 7 as they are both in column 6
- (6, 6) must have some value (Choices are: 6, 7)
Smallest mus size: 4
Setting (2, 3) is not 6 because:
- Some cell the cage starting at top-left position (0,3) must be 6 (Choices are: (1, 5), (3, 4), (3, 5))
- (1, 5) and (2, 3) cannot both be 6 as they are both seperated by knights move
- (2, 3) and (3, 4) cannot be 6 and 6 as they must be ordered
- (2, 3) and (3, 5) cannot both be 6 as they are both seperated by knights move
Smallest mus size: 5
Setting (4, 4) is not 6 because:
- (4, 4) and (4, 6) cannot both be 6 as they are both in row 4
- (4, 4) and (6, 6) cannot both be 6 as they are both the cage starting at top-left position (3,3)
- (4, 6) must have some value (Choices are: 6, 7)
- (4, 6) and (6, 6) cannot both be 7 as they are both in column 6
- (6, 6) must have some value (Choices are: 6, 7)
Smallest mus size: 5
Setting (4, 5) is not 6 because:
- (4, 5) and (4, 6) cannot both be 6 as they are both in row 4
- (4, 5) and (6, 6) cannot both be 6 as they are both the cage starting at top-left position (3,3)
- (4, 6) must have some value (Choices are: 6, 7)
- (4, 6) and (6, 6) cannot both be 7 as they are both in column 6
- (6, 6) must have some value (Choices are: 6, 7)
Smallest mus size: 5
Setting (4, 5) is not 7 because:
- (4, 5) and (4, 6) cannot both be 7 as they are both in row 4
- (4, 5) and (6, 6) cannot both be 7 as they are both the cage starting at top-left position (3,3)
- (4, 6) must have some value (Choices are: 6, 7)
- (4, 6) and (6, 6) cannot both be 6 as they are both in column 6
- (6, 6) must have some value (Choices are: 6, 7)
Smallest mus size: 5
Setting (5, 4) is not 6 because:
- (4, 6) must have some value (Choices are: 6, 7)
- (4, 6) and (5, 4) cannot both be 6 as they are both the cage starting at top-left position (3,3)
- (4, 6) and (6, 6) cannot both be 7 as they are both in column 6
- (5, 4) and (6, 6) cannot both be 6 as they are both the cage starting at top-left position (3,3)
- (6, 6) must be greater than 5 if (7, 5) is 5
Smallest mus size: 5
Setting (5, 5) is not 6 because:
- (4, 6) must have some value (Choices are: 6, 7)
- (4, 6) and (5, 5) cannot both be 6 as they are both the cage starting at top-left position (3,3)
- (4, 6) and (6, 6) cannot both be 7 as they are both in column 6
- (5, 5) and (6, 6) cannot both be 6 as they are both the cage starting at top-left position (3,3)
- (6, 6) must have some value (Choices are: 6, 7)
Smallest mus size: 5
Setting (5, 5) is not 7 because:
- (4, 6) must have some value (Choices are: 6, 7)
- (4, 6) and (6, 6) cannot both be 6 as they are both in column 6
- (4, 6) and (5, 5) cannot both be 7 as they are both the cage starting at top-left position (3,3)
- (5, 5) and (6, 6) cannot both be 7 as they are both the cage starting at top-left position (3,3)
- (6, 6) must have some value (Choices are: 6, 7)
Smallest mus size: 5
Setting (5, 6) is not 6 because:
- (4, 6) must have some value (Choices are: 6, 7)
- (4, 6) and (5, 6) cannot both be 6 as they are both in column 6
- (4, 6) and (6, 6) cannot both be 7 as they are both in column 6
- (5, 6) and (6, 6) cannot both be 6 as they are both in column 6
- (6, 6) must be greater than 5 if (7, 5) is 5
Smallest mus size: 5
Setting (6, 4) is not 6 because:
- (4, 6) must have some value (Choices are: 6, 7)
- (4, 6) and (6, 4) cannot both be 6 as they are both the cage starting at top-left position (3,3)
- (4, 6) and (6, 6) cannot both be 7 as they are both in column 6
- (6, 4) and (6, 6) cannot both be 6 as they are both in row 6
- (6, 6) must be greater than 5 if (7, 5) is 5
Smallest mus size: 5
Setting (5, 6) is not 7 because:
- (4, 6) must have some value (Choices are: 6, 7)
- (4, 6) and (6, 6) cannot both be 6 as they are both in column 6
- (4, 6) and (5, 6) cannot both be 7 as they are both in column 6
- (5, 6) and (6, 6) cannot both be 7 as they are both in column 6
- (6, 6) must have some value (Choices are: 6, 7)
Smallest mus size: 10
Setting (8, 7) is not 6 because:
- Some cell in column 7 must be 4 (Choices are: (2, 7), (3, 7), (8, 7))
- Some cell in column 7 must be 5 (Choices are: (5, 7), (9, 7))
- Some cell in column 7 must be 7 (Choices are: (8, 7), (9, 7))
- (3, 6) must be greater than 4 if (2, 7) is 4
- (3, 6) and (5, 7) cannot both be 5 as they are both seperated by knights move
- (4, 8) must be greater than 4 if (3, 7) is 4
- (4, 8) and (5, 7) cannot both be 5 as they are both the cage starting at top-left position (3,6)
- (8, 7) cannot be both 4 and 6
- (8, 7) cannot be both 6 and 7
- (9, 7) cannot be both 5 and 7
Smallest mus size: 5
Setting (5, 8) is not 6 because:
- (4, 6) must have some value (Choices are: 6, 7)
- (4, 6) and (5, 8) cannot both be 6 as they are both seperated by knights move
- (4, 6) and (6, 6) cannot both be 7 as they are both in column 6
- (5, 8) and (6, 6) cannot both be 6 as they are both seperated by knights move
- (6, 6) must be greater than 5 if (7, 5) is 5
Smallest mus size: 7
Setting (6, 6) is 6 because:
- Some cell in column 7 must be 6 (Choices are: (5, 7), (9, 7))
- Some cell in column 7 must be 7 (Choices are: (8, 7), (9, 7))
- (4, 6) and (6, 6) cannot both be 7 as they are both in column 6
- (4, 6) must be greater than 6 if (5, 7) is 6
- (6, 6) must be greater than 5 if (7, 5) is 5
- (6, 6) and (8, 7) cannot both be 7 as they are both seperated by knights move
- (9, 7) cannot be both 6 and 7
Doing 7 simple deductions
Doing 1 simple deductions
Doing 6 simple deductions
Smallest mus size: 4
Setting (9, 2) is not 6 because:
- Some cell the cage starting at top-left position (6,3) must be 6 (Choices are: (8, 4), (9, 4), (9, 5))
- (8, 4) and (9, 2) cannot both be 6 as they are both seperated by knights move
- (9, 2) and (9, 4) cannot both be 6 as they are both in row 9
- (9, 2) and (9, 5) cannot both be 6 as they are both in row 9
Smallest mus size: 5
Setting (9, 7) is not 7 because:
- Some cell in column 7 must be 5 (Choices are: (5, 7), (9, 7))
- Some cell in column 7 must be 6 (Choices are: (5, 7), (9, 7))
- (5, 7) cannot be both 5 and 6
- (9, 7) cannot be both 5 and 7
- (9, 7) cannot be both 6 and 7
Doing 1 simple deductions
Doing 5 simple deductions
Smallest mus size: 3
Setting (1, 8) is not 4 because:
- Some cell in column 7 must be 4 (Choices are: (2, 7), (3, 7))
- (1, 8) and (2, 7) cannot both be 4 as they are both the cage starting at top-left position (0,6)
- (1, 8) and (3, 7) cannot both be 4 as they are both the cage starting at top-left position (0,6)
Smallest mus size: 3
Setting (1, 9) is not 4 because:
- Some cell in column 7 must be 4 (Choices are: (2, 7), (3, 7))
- (1, 9) and (2, 7) cannot both be 4 as they are both the cage starting at top-left position (0,6)
- (1, 9) and (3, 7) cannot both be 4 as they are both the cage starting at top-left position (0,6)
Smallest mus size: 3
Setting (2, 8) is not 4 because:
- Some cell in column 7 must be 4 (Choices are: (2, 7), (3, 7))
- (2, 7) and (2, 8) cannot both be 4 as they are both in row 2
- (2, 8) and (3, 7) cannot both be 4 as they are both the cage starting at top-left position (0,6)
Smallest mus size: 3
Setting (2, 9) is not 4 because:
- Some cell in column 7 must be 4 (Choices are: (2, 7), (3, 7))
- (2, 7) and (2, 9) cannot both be 4 as they are both in row 2
- (2, 9) and (3, 7) cannot both be 4 as they are both the cage starting at top-left position (0,6)
Smallest mus size: 3
Setting (3, 5) is not 4 because:
- Some cell in column 7 must be 4 (Choices are: (2, 7), (3, 7))
- (2, 7) and (3, 5) cannot both be 4 as they are both seperated by knights move
- (3, 5) and (3, 7) cannot both be 4 as they are both in row 3
Smallest mus size: 3
Setting (3, 8) is not 4 because:
- Some cell in column 7 must be 4 (Choices are: (2, 7), (3, 7))
- (2, 7) and (3, 8) cannot both be 4 as they are both the cage starting at top-left position (0,6)
- (3, 7) and (3, 8) cannot both be 4 as they are both in row 3
Smallest mus size: 3
Setting (4, 8) is not 4 because:
- Some cell in column 7 must be 4 (Choices are: (2, 7), (3, 7))
- (2, 7) and (4, 8) cannot both be 4 as they are both seperated by knights move
- (3, 7) and (4, 8) cannot be 4 and 4 as they must be ordered
Smallest mus size: 3
Setting (7, 3) is not 7 because:
- (7, 3) and (7, 4) cannot both be 7 as they are both in row 7
- (7, 3) and (9, 4) cannot both be 7 as they are both seperated by knights move
- Some cell the cage starting at top-left position (6,3) must be 7 (Choices are: (7, 4), (9, 4))
Smallest mus size: 4
Setting (4, 5) is not 4 because:
- Some cell in column 7 must be 4 (Choices are: (2, 7), (3, 7))
- (3, 6) must be greater than 4 if (2, 7) is 4
- (3, 6) and (4, 5) cannot be 5 and 4 as they must be ordered
- (3, 7) and (4, 5) cannot both be 4 as they are both seperated by knights move
Doing 1 simple deductions
Doing 6 simple deductions
Doing 3 simple deductions
Doing 11 simple deductions
Doing 1 simple deductions
Doing 11 simple deductions
Smallest mus size: 3
Setting (1, 9) is not 7 because:
- (1, 9) and (5, 9) cannot both be 7 as they are both in column 9
- (1, 9) and (6, 9) cannot both be 7 as they are both in column 9
- Some cell the cage starting at top-left position (3,6) must be 7 (Choices are: (5, 9), (6, 9))
Smallest mus size: 3
Setting (2, 9) is not 7 because:
- (2, 9) and (5, 9) cannot both be 7 as they are both in column 9
- (2, 9) and (6, 9) cannot both be 7 as they are both in column 9
- Some cell the cage starting at top-left position (3,6) must be 7 (Choices are: (5, 9), (6, 9))
Smallest mus size: 3
Setting (7, 2) is not 9 because:
- (5, 1) and (7, 2) cannot both be 9 as they are both seperated by knights move
- Some cell in row 5 must be 9 (Choices are: (5, 1), (5, 2))
- (5, 2) and (7, 2) cannot both be 9 as they are both in column 2
Smallest mus size: 3
Setting (7, 1) is not 9 because:
- (5, 1) and (7, 1) cannot both be 9 as they are both in column 1
- Some cell in row 5 must be 9 (Choices are: (5, 1), (5, 2))
- (5, 2) and (7, 1) cannot both be 9 as they are both seperated by knights move
Doing 1 simple deductions
Doing 6 simple deductions
Smallest mus size: 5
Setting (5, 7) is not 5 because:
- Some cell in column 7 must be 4 (Choices are: (2, 7), (3, 7))
- (3, 6) must be greater than 4 if (2, 7) is 4
- (3, 6) and (5, 7) cannot both be 5 as they are both seperated by knights move
- (4, 8) must be greater than 4 if (3, 7) is 4
- (4, 8) and (5, 7) cannot both be 5 as they are both the cage starting at top-left position (3,6)
Doing 2 simple deductions
Doing 17 simple deductions
Smallest mus size: 3
Setting (6, 2) is not 5 because:
- (6, 2) and (8, 1) cannot both be 5 as they are both seperated by knights move
- (6, 2) and (8, 2) cannot both be 5 as they are both in column 2
- Some cell the cage starting at top-left position (6,0) must be 5 (Choices are: (8, 1), (8, 2))
Smallest mus size: 4
Setting (8, 3) is not 6 because:
- (7, 1) and (8, 3) cannot both be 6 as they are both the cage starting at top-left position (6,0)
- Some cell in row 7 must be 6 (Choices are: (7, 1), (7, 2), (7, 3))
- (7, 2) and (8, 3) cannot both be 6 as they are both the cage starting at top-left position (6,0)
- (7, 3) and (8, 3) cannot both be 6 as they are both in column 3
Smallest mus size: 5
Setting (3, 7) is not 3 because:
- Some cell in column 7 must be 4 (Choices are: (2, 7), (3, 7))
- (3, 6) must be greater than 4 if (2, 7) is 4
- (3, 6) and (4, 8) cannot both be 5 as they are both seperated by knights move
- (3, 7) cannot be both 3 and 4
- (4, 8) must be greater than 3 if (3, 7) is 3
Smallest mus size: 3
Setting (3, 1) is not 9 because:
- (3, 1) and (5, 1) cannot both be 9 as they are both in column 1
- (3, 1) and (5, 2) cannot both be 9 as they are both seperated by knights move
- Some cell the cage starting at top-left position (3,0) must be 9 (Choices are: (5, 1), (5, 2))
Smallest mus size: 3
Setting (3, 9) is not 7 because:
- (3, 9) and (5, 9) cannot both be 7 as they are both in column 9
- (3, 9) and (6, 9) cannot both be 7 as they are both in column 9
- Some cell the cage starting at top-left position (3,6) must be 7 (Choices are: (5, 9), (6, 9))
Smallest mus size: 3
Setting (8, 2) is not 6 because:
- Some cell in column 4 must be 6 (Choices are: (8, 4), (9, 4))
- (8, 2) and (8, 4) cannot both be 6 as they are both in row 8
- (8, 2) and (9, 4) cannot both be 6 as they are both seperated by knights move
Smallest mus size: 4
Setting (8, 2) is not 8 because:
- Some cell in column 3 must be 8 (Choices are: (6, 3), (8, 3), (9, 3))
- (6, 3) and (8, 2) cannot both be 8 as they are both seperated by knights move
- (8, 2) and (8, 3) cannot both be 8 as they are both in row 8
- (8, 2) and (9, 3) cannot both be 8 as they are both the cage starting at top-left position (6,0)
Smallest mus size: 3
Setting (8, 6) is not 3 because:
- Some cell in column 7 must be 3 (Choices are: (6, 7), (7, 7))
- (6, 7) and (8, 6) cannot both be 3 as they are both seperated by knights move
- (7, 7) and (8, 6) cannot be 3 and 3 as they must be ordered
Smallest mus size: 3
Setting (3, 9) is not 4 because:
- Some cell in column 7 must be 4 (Choices are: (2, 7), (3, 7))
- (2, 7) and (3, 9) cannot both be 4 as they are both the cage starting at top-left position (0,6)
- (3, 7) and (3, 9) cannot both be 4 as they are both in row 3
Smallest mus size: 3
Setting (7, 8) is not 3 because:
- Some cell in column 7 must be 3 (Choices are: (6, 7), (7, 7))
- (6, 7) and (7, 8) cannot be 3 and 3 as they must be ordered
- (7, 7) and (7, 8) cannot both be 3 as they are both in row 7
Smallest mus size: 4
Setting (6, 7) is not 2 because:
- (7, 8) must be greater than 2 if (6, 7) is 2
- (6, 7) and (8, 6) cannot both be 2 as they are both seperated by knights move
- (7, 8) and (8, 6) cannot both be 4 as they are both seperated by knights move
- (8, 6) must have some value (Choices are: 2, 4)
Smallest mus size: 7
Setting (2, 7) is not 1 because:
- (2, 7) and (6, 7) cannot both be 1 as they are both in column 7
- (2, 7) and (7, 7) cannot both be 1 as they are both in column 7
- (6, 7) must be less than 2 if (7, 8) is 2
- (8, 6) must be less than 5 if (7, 5) is 5
- (7, 7) must be less than 2 if (8, 6) is 2
- (7, 8) must have some value (Choices are: 2, 4)
- (7, 8) and (8, 6) cannot both be 4 as they are both seperated by knights move
Doing 1 simple deductions
Smallest mus size: 4
Setting (9, 3) is not 6 because:
- (7, 1) and (9, 3) cannot both be 6 as they are both the cage starting at top-left position (6,0)
- Some cell in row 7 must be 6 (Choices are: (7, 1), (7, 2), (7, 3))
- (7, 2) and (9, 3) cannot both be 6 as they are both the cage starting at top-left position (6,0)
- (7, 3) and (9, 3) cannot both be 6 as they are both in column 3
Smallest mus size: 5
Setting (2, 8) is not 3 because:
- (2, 8) and (3, 6) cannot both be 3 as they are both seperated by knights move
- (2, 8) and (4, 8) cannot both be 3 as they are both in column 8
- (3, 6) must have some value (Choices are: 3, 5)
- (3, 6) and (4, 8) cannot both be 5 as they are both seperated by knights move
- (4, 8) must have some value (Choices are: 3, 5)
Smallest mus size: 5
Setting (3, 8) is not 3 because:
- (3, 6) must have some value (Choices are: 3, 5)
- (3, 6) and (3, 8) cannot both be 3 as they are both in row 3
- (3, 6) and (4, 8) cannot both be 5 as they are both seperated by knights move
- (3, 8) and (4, 8) cannot both be 3 as they are both in column 8
- (4, 8) must have some value (Choices are: 3, 5)
Smallest mus size: 5
Setting (5, 6) is not 3 because:
- (3, 6) must have some value (Choices are: 3, 5)
- (3, 6) and (5, 6) cannot both be 3 as they are both in column 6
- (3, 6) and (4, 8) cannot both be 5 as they are both seperated by knights move
- (4, 8) must be less than 6 if (5, 7) is 6
- (4, 8) and (5, 6) cannot both be 3 as they are both seperated by knights move
Smallest mus size: 5
Setting (9, 8) is not 2 because:
- (7, 8) must have some value (Choices are: 2, 4)
- (7, 8) and (9, 8) cannot both be 2 as they are both in column 8
- (7, 8) and (8, 6) cannot both be 4 as they are both seperated by knights move
- (8, 6) must have some value (Choices are: 2, 4)
- (8, 6) and (9, 8) cannot both be 2 as they are both seperated by knights move
Smallest mus size: 3
Setting (6, 1) is not 5 because:
- (6, 1) and (8, 1) cannot both be 5 as they are both in column 1
- (6, 1) and (8, 2) cannot both be 5 as they are both seperated by knights move
- Some cell in row 8 must be 5 (Choices are: (8, 1), (8, 2))
Smallest mus size: 7
Setting (3, 7) is not 1 because:
- (3, 7) and (6, 7) cannot both be 1 as they are both in column 7
- (3, 7) and (7, 7) cannot both be 1 as they are both in column 7
- (6, 7) must be less than 2 if (7, 8) is 2
- (7, 7) must be less than 2 if (8, 6) is 2
- (7, 8) must have some value (Choices are: 2, 4)
- (7, 8) and (8, 6) cannot both be 4 as they are both seperated by knights move
- (8, 6) must have some value (Choices are: 2, 4)
Smallest mus size: 4
Setting (9, 1) is not 6 because:
- (7, 1) and (9, 1) cannot both be 6 as they are both in column 1
- Some cell in row 7 must be 6 (Choices are: (7, 1), (7, 2), (7, 3))
- (7, 2) and (9, 1) cannot both be 6 as they are both the cage starting at top-left position (6,0)
- (7, 3) and (9, 1) cannot both be 6 as they are both the cage starting at top-left position (6,0)
Smallest mus size: 6
Setting (7, 7) is not 2 because:
- (8, 6) must be less than 5 if (7, 5) is 5
- (7, 7) cannot be both 1 and 2
- (7, 7) must be less than 2 if (8, 6) is 2
- (7, 7) and (7, 8) cannot both be 2 as they are both in row 7
- (7, 8) must have some value (Choices are: 2, 4)
- (7, 8) and (8, 6) cannot both be 4 as they are both seperated by knights move
Smallest mus size: 3
Setting (1, 8) is not 2 because:
- Some cell in column 7 must be 2 (Choices are: (2, 7), (3, 7))
- (1, 8) and (2, 7) cannot both be 2 as they are both the cage starting at top-left position (0,6)
- (1, 8) and (3, 7) cannot both be 2 as they are both the cage starting at top-left position (0,6)
Smallest mus size: 3
Setting (2, 5) is not 2 because:
- Some cell in column 7 must be 2 (Choices are: (2, 7), (3, 7))
- (2, 5) and (2, 7) cannot both be 2 as they are both in row 2
- (2, 5) and (3, 7) cannot both be 2 as they are both seperated by knights move
Smallest mus size: 3
Setting (2, 9) is not 2 because:
- Some cell in column 7 must be 2 (Choices are: (2, 7), (3, 7))
- (2, 7) and (2, 9) cannot both be 2 as they are both in row 2
- (2, 9) and (3, 7) cannot both be 2 as they are both the cage starting at top-left position (0,6)
Smallest mus size: 5
Setting (8, 8) is not 2 because:
- (8, 6) must be less than 5 if (7, 5) is 5
- (7, 8) must have some value (Choices are: 2, 4)
- (7, 8) and (8, 8) cannot both be 2 as they are both in column 8
- (7, 8) and (8, 6) cannot both be 4 as they are both seperated by knights move
- (8, 6) and (8, 8) cannot both be 2 as they are both in row 8
Smallest mus size: 6
Setting (5, 2) is not 4 because:
- (4, 4) and (5, 2) cannot both be 4 as they are both seperated by knights move
- Some cell the cage starting at top-left position (3,3) must be 4 (Choices are: (4, 4), (5, 4), (5, 5), (5, 6), (6, 4))
- (5, 2) and (5, 4) cannot both be 4 as they are both in row 5
- (5, 2) and (5, 5) cannot both be 4 as they are both in row 5
- (5, 2) and (5, 6) cannot both be 4 as they are both in row 5
- (5, 2) and (6, 4) cannot both be 4 as they are both seperated by knights move
Smallest mus size: 6
Setting (2, 6) is not 1 because:
- (1, 6) and (2, 5) cannot both be 3 as they are both the cage starting at top-left position (0,3)
- Some cell in column 6 must be 3 (Choices are: (1, 6), (2, 6), (3, 6))
- (2, 5) and (2, 6) cannot both be 1 as they are both in row 2
- (2, 5) must have some value (Choices are: 1, 3)
- (2, 5) and (3, 6) cannot both be 3 as they are both the cage starting at top-left position (0,3)
- (2, 6) cannot be both 1 and 3
Smallest mus size: 3
Setting (3, 5) is not 2 because:
- Some cell in column 7 must be 2 (Choices are: (2, 7), (3, 7))
- (2, 7) and (3, 5) cannot both be 2 as they are both seperated by knights move
- (3, 5) and (3, 7) cannot both be 2 as they are both in row 3
Smallest mus size: 3
Setting (9, 5) is not 6 because:
- Some cell the cage starting at top-left position (0,3) must be 6 (Choices are: (1, 5), (3, 5))
- (1, 5) and (9, 5) cannot both be 6 as they are both in column 5
- (3, 5) and (9, 5) cannot both be 6 as they are both in column 5
Smallest mus size: 7
Setting (5, 8) is not 1 because:
- (5, 8) and (6, 7) cannot both be 1 as they are both the cage starting at top-left position (3,6)
- (5, 8) and (7, 7) cannot both be 1 as they are both seperated by knights move
- (6, 7) must be less than 2 if (7, 8) is 2
- (8, 6) must be less than 5 if (7, 5) is 5
- (7, 7) must be less than 2 if (8, 6) is 2
- (7, 8) must have some value (Choices are: 2, 4)
- (7, 8) and (8, 6) cannot both be 4 as they are both seperated by knights move
Smallest mus size: 3
Setting (2, 8) is not 2 because:
- Some cell in column 7 must be 2 (Choices are: (2, 7), (3, 7))
- (2, 7) and (2, 8) cannot both be 2 as they are both in row 2
- (2, 8) and (3, 7) cannot both be 2 as they are both the cage starting at top-left position (0,6)
Smallest mus size: 5
Setting (8, 9) is not 2 because:
- (7, 8) must have some value (Choices are: 2, 4)
- (7, 8) and (8, 9) cannot both be 2 as they are both the cage starting at top-left position (6,6)
- (7, 8) and (8, 6) cannot both be 4 as they are both seperated by knights move
- (8, 6) must have some value (Choices are: 2, 4)
- (8, 6) and (8, 9) cannot both be 2 as they are both in row 8
Smallest mus size: 7
Setting (8, 8) is not 1 because:
- (6, 7) and (8, 8) cannot both be 1 as they are both seperated by knights move
- (6, 7) must be less than 2 if (7, 8) is 2
- (8, 6) must be less than 5 if (7, 5) is 5
- (7, 7) and (8, 8) cannot both be 1 as they are both the cage starting at top-left position (6,6)
- (7, 7) must be less than 2 if (8, 6) is 2
- (7, 8) must have some value (Choices are: 2, 4)
- (7, 8) and (8, 6) cannot both be 4 as they are both seperated by knights move
Smallest mus size: 4
Setting (1, 3) is not 1 because:
- (1, 3) and (1, 5) cannot both be 1 as they are both in row 1
- (1, 3) and (1, 6) cannot both be 1 as they are both in row 1
- (1, 3) and (2, 5) cannot both be 1 as they are both seperated by knights move
- Some cell the cage starting at top-left position (0,3) must be 1 (Choices are: (1, 5), (1, 6), (2, 5))
Smallest mus size: 3
Setting (5, 8) is not 3 because:
- Some cell in column 7 must be 3 (Choices are: (6, 7), (7, 7))
- (5, 8) and (6, 7) cannot both be 3 as they are both the cage starting at top-left position (3,6)
- (5, 8) and (7, 7) cannot both be 3 as they are both seperated by knights move
Smallest mus size: 7
Setting (3, 9) is not 2 because:
- (2, 7) must have some value (Choices are: 2, 4)
- (2, 7) and (3, 9) cannot both be 2 as they are both the cage starting at top-left position (0,6)
- (3, 6) must be greater than 4 if (2, 7) is 4
- (3, 6) and (4, 8) cannot both be 5 as they are both seperated by knights move
- (3, 7) must be less than 3 if (4, 8) is 3
- (3, 7) and (3, 9) cannot both be 2 as they are both in row 3
- (4, 8) must have some value (Choices are: 3, 5)
Smallest mus size: 7
Setting (6, 9) is not 1 because:
- (6, 7) and (6, 9) cannot both be 1 as they are both in row 6
- (6, 7) must be less than 2 if (7, 8) is 2
- (6, 9) and (7, 7) cannot both be 1 as they are both seperated by knights move
- (7, 7) must be less than 2 if (8, 6) is 2
- (7, 8) must have some value (Choices are: 2, 4)
- (7, 8) and (8, 6) cannot both be 4 as they are both seperated by knights move
- (8, 6) must have some value (Choices are: 2, 4)
Smallest mus size: 9
Setting (5, 5) is not 1 because:
- (2, 5) and (5, 5) cannot both be 1 as they are both in column 5
- (2, 5) must have some value (Choices are: 1, 3)
- (2, 5) and (3, 6) cannot both be 3 as they are both the cage starting at top-left position (0,3)
- (3, 6) must have some value (Choices are: 3, 5)
- (3, 6) and (4, 8) cannot both be 5 as they are both seperated by knights move
- (4, 8) must have some value (Choices are: 3, 5)
- (4, 8) and (6, 7) cannot both be 3 as they are both the cage starting at top-left position (3,6)
- (5, 5) and (6, 7) cannot both be 1 as they are both seperated by knights move
- (6, 7) must have some value (Choices are: 1, 3)
Smallest mus size: 9
Setting (9, 9) is not 1 because:
- (7, 7) and (9, 9) cannot both be 1 as they are both the cage starting at top-left position (6,6)
- (7, 7) must be less than 2 if (8, 6) is 2
- Some cell the cage starting at top-left position (6,6) must be 4 (Choices are: (7, 8), (8, 8), (8, 9), (9, 8), (9, 9))
- (7, 8) and (8, 6) cannot both be 4 as they are both seperated by knights move
- (8, 6) must have some value (Choices are: 2, 4)
- (8, 6) and (8, 8) cannot both be 4 as they are both in row 8
- (8, 6) and (8, 9) cannot both be 4 as they are both in row 8
- (8, 6) and (9, 8) cannot both be 4 as they are both seperated by knights move
- (9, 9) cannot be both 1 and 4
Smallest mus size: 11
Setting (5, 6) is not 4 because:
- Some cell in column 7 must be 4 (Choices are: (2, 7), (3, 7))
- (3, 6) must be greater than 4 if (2, 7) is 4
- (3, 6) and (4, 8) cannot both be 5 as they are both seperated by knights move
- (3, 7) and (5, 6) cannot both be 4 as they are both seperated by knights move
- (4, 8) must have some value (Choices are: 3, 5)
- (4, 8) and (6, 7) cannot both be 3 as they are both the cage starting at top-left position (3,6)
- (5, 6) and (8, 6) cannot both be 4 as they are both in column 6
- (6, 7) and (7, 7) cannot both be 1 as they are both in column 7
- (6, 7) must have some value (Choices are: 1, 3)
- (8, 6) must be less than 5 if (7, 5) is 5
- (7, 7) must be less than 2 if (8, 6) is 2
Smallest mus size: 4
Setting (1, 5) is not 3 because:
- (1, 5) and (1, 6) cannot both be 3 as they are both in row 1
- (1, 5) and (2, 6) cannot both be 3 as they are both the cage starting at top-left position (0,3)
- (1, 5) and (3, 6) cannot both be 3 as they are both the cage starting at top-left position (0,3)
- Some cell in column 6 must be 3 (Choices are: (1, 6), (2, 6), (3, 6))
Smallest mus size: 4
Setting (8, 6) is not 2 because:
- (5, 6) and (7, 7) cannot both be 1 as they are both seperated by knights move
- (5, 6) must have some value (Choices are: 1, 2)
- (5, 6) and (8, 6) cannot both be 2 as they are both in column 6
- (7, 7) must be less than 2 if (8, 6) is 2
Doing 1 simple deductions
Doing 14 simple deductions
Doing 3 simple deductions
Doing 20 simple deductions
Doing 17 simple deductions
Doing 1 simple deductions
Doing 6 simple deductions
Doing 1 simple deductions
Doing 5 simple deductions
Doing 1 simple deductions
Doing 5 simple deductions
Smallest mus size: 3
Setting (1, 3) is not 4 because:
- (1, 3) and (1, 4) cannot both be 4 as they are both in row 1
- (1, 3) and (1, 5) cannot both be 4 as they are both in row 1
- Some cell the cage starting at top-left position (0,3) must be 4 (Choices are: (1, 4), (1, 5))
Smallest mus size: 3
Setting (1, 2) is not 4 because:
- (1, 2) and (1, 4) cannot both be 4 as they are both in row 1
- (1, 2) and (1, 5) cannot both be 4 as they are both in row 1
- Some cell the cage starting at top-left position (0,3) must be 4 (Choices are: (1, 4), (1, 5))
Smallest mus size: 4
Setting (8, 2) is not 1 because:
- (7, 1) and (8, 2) cannot both be 1 as they are both the cage starting at top-left position (6,0)
- Some cell in row 7 must be 1 (Choices are: (7, 1), (7, 2), (7, 3))
- (7, 2) and (8, 2) cannot both be 1 as they are both in column 2
- (7, 3) and (8, 2) cannot both be 1 as they are both the cage starting at top-left position (6,0)
Smallest mus size: 5
Setting (5, 8) is not 4 because:
- (1, 5) and (2, 7) cannot both be 4 as they are both seperated by knights move
- Some cell in column 5 must be 4 (Choices are: (1, 5), (5, 5))
- Some cell in column 7 must be 4 (Choices are: (2, 7), (3, 7))
- (3, 7) and (5, 8) cannot both be 4 as they are both seperated by knights move
- (5, 5) and (5, 8) cannot both be 4 as they are both in row 5
Doing 1 simple deductions
Doing 6 simple deductions
Smallest mus size: 3
Setting (2, 9) is not 3 because:
- (1, 8) and (2, 9) cannot both be 3 as they are both the cage starting at top-left position (0,6)
- Some cell in column 8 must be 3 (Choices are: (1, 8), (4, 8))
- (2, 9) and (4, 8) cannot both be 3 as they are both seperated by knights move
Smallest mus size: 7
Setting (2, 9) is not 5 because:
- (2, 9) and (4, 8) cannot both be 5 as they are both seperated by knights move
- (2, 9) and (4, 9) cannot both be 5 as they are both in column 9
- (3, 7) must be less than 3 if (4, 8) is 3
- (3, 7) and (4, 9) cannot both be 2 as they are both seperated by knights move
- (4, 8) must have some value (Choices are: 3, 5)
- (4, 8) and (4, 9) cannot both be 3 as they are both in row 4
- (4, 9) must have some value (Choices are: 2, 3, 5)
Smallest mus size: 3
Setting (1, 1) is not 4 because:
- (1, 1) and (1, 4) cannot both be 4 as they are both in row 1
- (1, 1) and (1, 5) cannot both be 4 as they are both in row 1
- Some cell the cage starting at top-left position (0,3) must be 4 (Choices are: (1, 4), (1, 5))
Smallest mus size: 4
Setting (9, 3) is not 1 because:
- (7, 1) and (9, 3) cannot both be 1 as they are both the cage starting at top-left position (6,0)
- Some cell in row 7 must be 1 (Choices are: (7, 1), (7, 2), (7, 3))
- (7, 2) and (9, 3) cannot both be 1 as they are both the cage starting at top-left position (6,0)
- (7, 3) and (9, 3) cannot both be 1 as they are both in column 3
Smallest mus size: 7
Setting (5, 8) is not 5 because:
- (3, 7) must be less than 3 if (4, 8) is 3
- (3, 7) and (4, 9) cannot both be 2 as they are both seperated by knights move
- (4, 8) must have some value (Choices are: 3, 5)
- (4, 8) and (4, 9) cannot both be 3 as they are both in row 4
- (4, 8) and (5, 8) cannot both be 5 as they are both in column 8
- (4, 9) must have some value (Choices are: 2, 3, 5)
- (4, 9) and (5, 8) cannot both be 5 as they are both the cage starting at top-left position (3,6)
Doing 1 simple deductions
Doing 4 simple deductions
Doing 2 simple deductions
Doing 8 simple deductions
Doing 1 simple deductions
Doing 2 simple deductions
Smallest mus size: 8
Setting (5, 5) is not 3 because:
- (1, 5) and (2, 7) cannot both be 4 as they are both seperated by knights move
- Some cell in column 5 must be 4 (Choices are: (1, 5), (5, 5))
- Some cell in column 7 must be 4 (Choices are: (2, 7), (3, 7))
- (3, 6) must have some value (Choices are: 3, 5)
- (3, 6) and (5, 5) cannot both be 3 as they are both seperated by knights move
- (3, 6) and (4, 8) cannot both be 5 as they are both seperated by knights move
- (4, 8) must be greater than 4 if (3, 7) is 4
- (5, 5) cannot be both 3 and 4
Smallest mus size: 8
Setting (1, 4) is not 2 because:
- (1, 4) cannot be both 2 and 4
- (2, 5) must be less than 2 if (1, 4) is 2
- Some cell the cage starting at top-left position (0,3) must be 4 (Choices are: (1, 4), (1, 5))
- (1, 5) and (5, 5) cannot both be 4 as they are both in column 5
- (2, 5) and (8, 5) cannot both be 1 as they are both in column 5
- (5, 5) must have some value (Choices are: 2, 4)
- (5, 5) and (8, 5) cannot both be 2 as they are both in column 5
- (8, 5) must have some value (Choices are: 1, 2)
Doing 1 simple deductions
Smallest mus size: 4
Setting (8, 4) is not 3 because:
- (4, 4) and (8, 4) cannot both be 3 as they are both in column 4
- Some cell the cage starting at top-left position (3,3) must be 3 (Choices are: (4, 4), (5, 4), (6, 4))
- (5, 4) and (8, 4) cannot both be 3 as they are both in column 4
- (6, 4) and (8, 4) cannot both be 3 as they are both in column 4
Doing 1 simple deductions
Doing 7 simple deductions
Doing 1 simple deductions
Doing 7 simple deductions
Doing 4 simple deductions
Doing 18 simple deductions
Doing 3 simple deductions
Doing 12 simple deductions
Doing 5 simple deductions
Doing 17 simple deductions
Doing 12 simple deductions
Doing 9 simple deductions
Doing 11 simple deductions
Doing 19 simple deductions
Doing 14 simple deductions
Doing 17 simple deductions
Doing 16 simple deductions
Doing 14 simple deductions
Doing 7 simple deductions
Doing 1 simple deductions
Trace: [(4, (9, 3) is not 9), (4, (9, 7) is not 9), (3, (3, 9) is not 9), (6, (5, 2) is not 1), (6, (5, 2) is not 2), (16, (4, 5) is not 3), (6, (5, 2) is not 3), (19, (4, 6) is not 4), (29, (6, 5) is not 5), (8, (7, 7) is not 6), (35, (5, 7) is not 3), (36, (6, 7) is not 5), (8, (6, 6) is not 4), (38, (8, 6) is not 6), (22, (7, 7) is not 5), (8, (7, 6) is not 4), (28, (8, 6) is not 7), (16, (7, 6) is not 5), (32, (7, 5) is not 8), (31, (5, 7) is not 8), (27, (4, 7) is not 4), (29, (6, 5) is not 7), (39, (4, 8) is not 2), (41, (6, 1) is not 9), (42, (5, 5) is not 9), (40, (7, 5) is not 7), (25, (7, 6) is not 6), (6, (5, 7) is not 7), (11, (1, 7) is not 4), (11, (1, 7) is not 5), (11, (1, 7) is not 6), (11, (1, 7) is not 2), (11, (4, 7) is not 5), (11, (4, 7) is not 6), (14, (9, 5) is not 7), (31, (8, 7) is not 3), (12, (7, 7) is not 4), (31, (2, 7) is not 3), (34, (7, 5) is not 3), (15, (6, 7) is not 4), (31, (5, 6) is not 8), (31, (9, 7) is not 4), (20, (7, 8) is not 6), (13, (6, 6) is not 5), (14, (9, 4) is not 8), (24, (2, 7) is not 5), (4, (7, 8) is not 5), (11, (7, 5) is not 4), (14, (8, 5) is not 8), (20, (6, 4) is not 8), (24, (4, 6) is not 9), (24, (5, 5) is not 8), (24, (8, 5) is not 6), (25, (3, 6) is not 4), (24, (4, 6) is not 8), (20, (9, 7) is not 8), (3, (2, 8) is not 8), (3, (3, 9) is not 8), (5, (1, 7) is not 3), (5, (1, 7) is not 7), (5, (4, 7) is not 7), (3, (7, 6) is not 7), (3, (4, 9) is not 9), (3, (1, 9) is not 9), (3, (8, 8) is not 7), (3, (5, 9) is not 9), (3, (9, 8) is not 7), (4, (3, 5) is not 1), (5, (4, 7) is not 1), (3, (7, 9) is not 7), (5, (4, 7) is not 2), (5, (4, 7) is not 3), (5, (1, 7) is not 1), (3, (8, 9) is not 7), (5, (6, 4) is not 7), (5, (8, 2) is not 7), (5, (9, 3) is not 7), (3, (8, 5) is not 7), (5, (3, 6) is not 7), (4, (4, 2) is not 8), (4, (3, 4) is not 7), (3, (9, 9) is not 7), (4, (4, 4) is not 7), (6, (1, 1) is not 8), (6, (1, 2) is not 8), (4, (5, 4) is not 7), (6, (1, 3) is not 8), (6, (1, 8) is not 8), (6, (1, 9) is not 8), (6, (4, 3) is not 8), (8, (3, 3) is not 8), (8, (4, 1) is not 8), (8, (4, 9) is not 8), (8, (6, 8) is not 6), (8, (7, 5) is not 6), (4, (3, 4) is not 5), (4, (4, 3) is not 5), (8, (5, 7) is not 4), (3, (1, 4) is not 5), (3, (5, 2) is not 5), (4, (2, 8) is not 5), (5, (1, 6) is not 7), (4, (2, 3) is not 7), (5, (2, 6) is not 6), (5, (1, 6) is not 6), (5, (2, 6) is not 7), (5, (3, 6) is not 6), (4, (2, 3) is not 6), (5, (4, 4) is not 6), (5, (4, 5) is not 6), (5, (4, 5) is not 7), (5, (5, 4) is not 6), (5, (5, 5) is not 6), (5, (5, 5) is not 7), (5, (5, 6) is not 6), (5, (6, 4) is not 6), (5, (5, 6) is not 7), (10, (8, 7) is not 6), (5, (5, 8) is not 6), (7, (6, 6) is 6), (4, (9, 2) is not 6), (5, (9, 7) is not 7), (3, (1, 8) is not 4), (3, (1, 9) is not 4), (3, (2, 8) is not 4), (3, (2, 9) is not 4), (3, (3, 5) is not 4), (3, (3, 8) is not 4), (3, (4, 8) is not 4), (3, (7, 3) is not 7), (4, (4, 5) is not 4), (3, (1, 9) is not 7), (3, (2, 9) is not 7), (3, (7, 2) is not 9), (3, (7, 1) is not 9), (5, (5, 7) is not 5), (3, (6, 2) is not 5), (4, (8, 3) is not 6), (5, (3, 7) is not 3), (3, (3, 1) is not 9), (3, (3, 9) is not 7), (3, (8, 2) is not 6), (4, (8, 2) is not 8), (3, (8, 6) is not 3), (3, (3, 9) is not 4), (3, (7, 8) is not 3), (4, (6, 7) is not 2), (7, (2, 7) is not 1), (4, (9, 3) is not 6), (5, (2, 8) is not 3), (5, (3, 8) is not 3), (5, (5, 6) is not 3), (5, (9, 8) is not 2), (3, (6, 1) is not 5), (7, (3, 7) is not 1), (4, (9, 1) is not 6), (6, (7, 7) is not 2), (3, (1, 8) is not 2), (3, (2, 5) is not 2), (3, (2, 9) is not 2), (5, (8, 8) is not 2), (6, (5, 2) is not 4), (6, (2, 6) is not 1), (3, (3, 5) is not 2), (3, (9, 5) is not 6), (7, (5, 8) is not 1), (3, (2, 8) is not 2), (5, (8, 9) is not 2), (7, (8, 8) is not 1), (4, (1, 3) is not 1), (3, (5, 8) is not 3), (7, (3, 9) is not 2), (7, (6, 9) is not 1), (9, (5, 5) is not 1), (9, (9, 9) is not 1), (11, (5, 6) is not 4), (4, (1, 5) is not 3), (4, (8, 6) is not 2), (3, (1, 3) is not 4), (3, (1, 2) is not 4), (4, (8, 2) is not 1), (5, (5, 8) is not 4), (3, (2, 9) is not 3), (7, (2, 9) is not 5), (3, (1, 1) is not 4), (4, (9, 3) is not 1), (7, (5, 8) is not 5), (8, (5, 5) is not 3), (8, (1, 4) is not 2), (4, (8, 4) is not 3)]
corecount: 113492